381731207040 has 768 divisors, whose sum is σ = 1422201830400. Its totient is φ = 94058496000.

The previous prime is 381731207003. The next prime is 381731207057. The reversal of 381731207040 is 40702137183.

381731207040 is a `hidden beast` number, since 381 + 7 + 31 + 207 + 0 + 40 = 666.

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 = 381731206986 and 381731207004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1408602105 + ... + 1408602375.

It is an arithmetic number, because the mean of its divisors is an integer number (1851825300).

Almost surely, 2^381731207040 is an apocalyptic number.

381731207040 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 381731207040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711100915200).

381731207040 is an abundant number, since it is smaller than the sum of its proper divisors (1040470623360).

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

381731207040 is a wasteful number, since it uses less digits than its factorization.

381731207040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 381731207040 in words is "three hundred eighty-one billion, seven hundred thirty-one million, two hundred seven thousand, forty".