383131607040 has 1792 divisors, whose sum is σ = 1733316157440. Its totient is φ = 79116632064.

The previous prime is 383131607017. The next prime is 383131607071. The reversal of 383131607040 is 40706131383.

383131607040 is a `hidden beast` number, since 3 + 8 + 3 + 1 + 3 + 1 + 607 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1792).

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

It is a junction number, because it is equal to n+sod(n) for n = 383131606986 and 383131607004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8151736297 + ... + 8151736343.

It is an arithmetic number, because the mean of its divisors is an integer number (967252320).

Almost surely, 2^383131607040 is an apocalyptic number.

383131607040 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 383131607040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866658078720).

383131607040 is an abundant number, since it is smaller than the sum of its proper divisors (1350184550400).

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

383131607040 is an frugal number, since it uses more digits than its factorization.

383131607040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 383131607040 in words is "three hundred eighty-three billion, one hundred thirty-one million, six hundred seven thousand, forty".