40160399328 has 72 divisors (see below), whose sum is σ = 130521304368. Its totient is φ = 11474399232.

The previous prime is 40160399273. The next prime is 40160399381. The reversal of 40160399328 is 82399306104.

It is a happy number.

40160399328 is a `hidden beast` number, since 4 + 0 + 1 + 603 + 9 + 9 + 32 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×40160399328² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9958401 + ... + 9962432.

It is an arithmetic number, because the mean of its divisors is an integer number (1812795894).

Almost surely, 2^40160399328 is an apocalyptic number.

40160399328 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

40160399328 is an abundant number, since it is smaller than the sum of its proper divisors (90360905040).

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

40160399328 is a wasteful number, since it uses less digits than its factorization.

40160399328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19920856 (or 19920845 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 40160399328 in words is "forty billion, one hundred sixty million, three hundred ninety-nine thousand, three hundred twenty-eight".