40760051904 has 896 divisors, whose sum is σ = 154356572160. Its totient is φ = 10351411200.

The previous prime is 40760051903. The next prime is 40760051951. The reversal of 40760051904 is 40915006704.

40760051904 is a `hidden beast` number, since 40 + 7 + 600 + 5 + 1 + 9 + 0 + 4 = 666.

It is a super-2 number, since 2×40760051904² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (40760051903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 130223652 + ... + 130223964.

It is an arithmetic number, because the mean of its divisors is an integer number (172272960).

Almost surely, 2^40760051904 is an apocalyptic number.

40760051904 is a gapful number since it is divisible by the number (44) 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 40760051904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77178286080).

40760051904 is an abundant number, since it is smaller than the sum of its proper divisors (113596520256).

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

40760051904 is a wasteful number, since it uses less digits than its factorization.

40760051904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 40760051904 in words is "forty billion, seven hundred sixty million, fifty-one thousand, nine hundred four".