382297794031440 has 1600 divisors, whose sum is σ = 1605423198720000. Its totient is φ = 84190819184640.

The previous prime is 382297794031423. The next prime is 382297794031451. The reversal of 382297794031440 is 44130497792283.

382297794031440 is a `hidden beast` number, since 3 + 8 + 2 + 2 + 9 + 77 + 94 + 0 + 31 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 15778509246 + ... + 15778533474.

It is an arithmetic number, because the mean of its divisors is an integer number (1003389499200).

Almost surely, 2^{382297794031440} is an apocalyptic number.

382297794031440 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 382297794031440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802711599360000).

382297794031440 is an abundant number, since it is smaller than the sum of its proper divisors (1223125404688560).

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

382297794031440 is a wasteful number, since it uses less digits than its factorization.

382297794031440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24535 (or 24506 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 382297794031440 in words is "three hundred eighty-two trillion, two hundred ninety-seven billion, seven hundred ninety-four million, thirty-one thousand, four hundred forty".