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4040402060040 = 233578742782741
BaseRepresentation
bin111010110010111010101…
…110101100001100001000
3112022020222120022000010020
4322302322232230030020
51012144220411410130
612332045102220440
7564623633565453
oct72627256541410
915266876260106
104040402060040
1113185856a2335
12553082584720
13234015261138
14dd7b108a49a
1570177e10e10
hex3acbabac308

4040402060040 has 64 divisors (see below), whose sum is σ = 12136608250560. Its totient is φ = 1076071476480.

The previous prime is 4040402060033. The next prime is 4040402060041. The reversal of 4040402060040 is 400602040404.

4040402060040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (4040402060041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21296931 + ... + 21485810.

It is an arithmetic number, because the mean of its divisors is an integer number (189634503915).

Almost surely, 24040402060040 is an apocalyptic number.

4040402060040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4040402060040 is an abundant number, since it is smaller than the sum of its proper divisors (8096206190520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4040402060040 is a wasteful number, since it uses less digits than its factorization.

4040402060040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42783542 (or 42783538 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The spelling of 4040402060040 in words is "four trillion, forty billion, four hundred two million, sixty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 787 1574 2361 3148 3935 4722 6296 7870 9444 11805 15740 18888 23610 31480 47220 94440 42782741 85565482 128348223 171130964 213913705 256696446 342261928 427827410 513392892 641741115 855654820 1026785784 1283482230 1711309640 2566964460 5133928920 33670017167 67340034334 101010051501 134680068668 168350085835 202020103002 269360137336 336700171670 404040206004 505050257505 673400343340 808080412008 1010100515010 1346800686680 2020201030020 4040402060040