387908659522440 has 1536 divisors, whose sum is σ = 1654642026086400. Its totient is φ = 80327418716160.

The previous prime is 387908659522429. The next prime is 387908659522469. The reversal of 387908659522440 is 44225956809783.

387908659522440 is a `hidden beast` number, since 3 + 8 + 7 + 9 + 0 + 8 + 6 + 59 + 522 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1773292752 + ... + 1773511488.

It is an arithmetic number, because the mean of its divisors is an integer number (1077240902400).

Almost surely, 2^{387908659522440} is an apocalyptic number.

387908659522440 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 387908659522440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827321013043200).

387908659522440 is an abundant number, since it is smaller than the sum of its proper divisors (1266733366563960).

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

387908659522440 is a wasteful number, since it uses less digits than its factorization.

387908659522440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218872 (or 218855 counting only the distinct ones).

The product of its (nonzero) digits is 1045094400, while the sum is 72.

The spelling of 387908659522440 in words is "three hundred eighty-seven trillion, nine hundred eight billion, six hundred fifty-nine million, five hundred twenty-two thousand, four hundred forty".