40760392320 has 384 divisors, whose sum is σ = 147026880000. Its totient is φ = 10790350848.

The previous prime is 40760392273. The next prime is 40760392327. The reversal of 40760392320 is 2329306704.

It is a happy number.

40760392320 is a `hidden beast` number, since 4 + 0 + 7 + 603 + 9 + 23 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×40760392320² (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 (40760392327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23171601 + ... + 23173359.

It is an arithmetic number, because the mean of its divisors is an integer number (382882500).

Almost surely, 2^40760392320 is an apocalyptic number.

40760392320 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 40760392320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73513440000).

40760392320 is an abundant number, since it is smaller than the sum of its proper divisors (106266487680).

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

40760392320 is a wasteful number, since it uses less digits than its factorization.

40760392320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1942 (or 1918 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 40760392320 in words is "forty billion, seven hundred sixty million, three hundred ninety-two thousand, three hundred twenty".