381237807565440 has 2048 divisors, whose sum is σ = 1630289037312000. Its totient is φ = 82352262021120.

The previous prime is 381237807565339. The next prime is 381237807565471. The reversal of 381237807565440 is 44565708732183.

It is a happy number.

381237807565440 is a `hidden beast` number, since 3 + 8 + 1 + 2 + 3 + 7 + 80 + 7 + 5 + 6 + 544 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 86822545645 + ... + 86822550035.

It is an arithmetic number, because the mean of its divisors is an integer number (796039569000).

Almost surely, 2^{381237807565440} is an apocalyptic number.

381237807565440 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 381237807565440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815144518656000).

381237807565440 is an abundant number, since it is smaller than the sum of its proper divisors (1249051229746560).

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

381237807565440 is a wasteful number, since it uses less digits than its factorization.

381237807565440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4975 (or 4957 counting only the distinct ones).

The product of its (nonzero) digits is 135475200, while the sum is 63.

The spelling of 381237807565440 in words is "three hundred eighty-one trillion, two hundred thirty-seven billion, eight hundred seven million, five hundred sixty-five thousand, four hundred forty".