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40813839360 = 210345717827
BaseRepresentation
bin100110000000101100…
…011100010000000000
310220100101102212020000
4212000230130100000
51132041320324420
630425530120000
72643255624210
oct460054342000
9126311385200
1040813839360
1116344391658
127ab0580000
133b0586c708
141d926da240
1510dd194690
hex980b1c400

40813839360 has 880 divisors, whose sum is σ = 177193298304. Its totient is φ = 8769503232.

The previous prime is 40813839307. The next prime is 40813839421. The reversal of 40813839360 is 6393831804.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 49351267 + ... + 49352093.

Almost surely, 240813839360 is an apocalyptic number.

40813839360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40813839360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88596649152).

40813839360 is an abundant number, since it is smaller than the sum of its proper divisors (136379458944).

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

40813839360 is a wasteful number, since it uses less digits than its factorization.

40813839360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 40813839360 in words is "forty billion, eight hundred thirteen million, eight hundred thirty-nine thousand, three hundred sixty".