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40040204064 = 25371013171861
BaseRepresentation
bin100101010010100101…
…010000011100100000
310211100110201010002220
4211102211100130200
51124000243012224
630221052311040
72615143055550
oct452245203440
9124313633086
1040040204064
1115a87718a43
127915472480
133a114bac53
141d1ba75160
1510952c9279
hex952950720

40040204064 has 192 divisors, whose sum is σ = 121757997312. Its totient is φ = 11284992000.

The previous prime is 40040204027. The next prime is 40040204081. The reversal of 40040204064 is 46040204004.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21514494 + ... + 21516354.

It is an arithmetic number, because the mean of its divisors is an integer number (634156236).

Almost surely, 240040204064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40040204064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60878998656).

40040204064 is an abundant number, since it is smaller than the sum of its proper divisors (81717793248).

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

40040204064 is a wasteful number, since it uses less digits than its factorization.

40040204064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2299 (or 2291 counting only the distinct ones).

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

Adding to 40040204064 its reverse (46040204004), we get a palindrome (86080408068).

The spelling of 40040204064 in words is "forty billion, forty million, two hundred four thousand, sixty-four".