31604593379040 has 768 divisors, whose sum is σ = 121607837568000. Its totient is φ = 7602416640000.

The previous prime is 31604593379011. The next prime is 31604593379069. The reversal of 31604593379040 is 4097339540613.

31604593379040 is a `hidden beast` number, since 3 + 1 + 6 + 0 + 4 + 593 + 3 + 7 + 9 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (31604593379011) and next prime (31604593379069).

It is a super-2 number, since 2×31604593379040² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9721497415 + ... + 9721500665.

It is an arithmetic number, because the mean of its divisors is an integer number (158343538500).

Almost surely, 2^{31604593379040} is an apocalyptic number.

31604593379040 is a gapful number since it is divisible by the number (30) 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 31604593379040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60803918784000).

31604593379040 is an abundant number, since it is smaller than the sum of its proper divisors (90003244188960).

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

31604593379040 is a wasteful number, since it uses less digits than its factorization.

31604593379040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4808 (or 4794 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 54.

The spelling of 31604593379040 in words is "thirty-one trillion, six hundred four billion, five hundred ninety-three million, three hundred seventy-nine thousand, forty".