40790748960 has 192 divisors, whose sum is σ = 153749957760. Its totient is φ = 10040785920.

The previous prime is 40790748949. The next prime is 40790748989. The reversal of 40790748960 is 6984709704.

It is a happy number.

40790748960 is a `hidden beast` number, since 407 + 90 + 74 + 89 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 40790748897 and 40790748906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 307006 + ... + 419325.

It is an arithmetic number, because the mean of its divisors is an integer number (800781030).

Almost surely, 2^40790748960 is an apocalyptic number.

40790748960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40790748960 is an abundant number, since it is smaller than the sum of its proper divisors (112959208800).

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

40790748960 is a wasteful number, since it uses less digits than its factorization.

40790748960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726368 (or 726354 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 40790748960 in words is "forty billion, seven hundred ninety million, seven hundred forty-eight thousand, nine hundred sixty".