387888821893440 has 448 divisors, whose sum is σ = 1563920075404800. Its totient is φ = 88657418944512.

The previous prime is 387888821893423. The next prime is 387888821893477. The reversal of 387888821893440 is 44398128888783.

387888821893440 is a `hidden beast` number, since 3 + 8 + 7 + 8 + 8 + 8 + 82 + 1 + 8 + 93 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 387888821893440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2267249182 + ... + 2267420258.

Almost surely, 2^{387888821893440} is an apocalyptic number.

387888821893440 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 387888821893440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781960037702400).

387888821893440 is an abundant number, since it is smaller than the sum of its proper divisors (1176031253511360).

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

387888821893440 is a wasteful number, since it uses less digits than its factorization.

387888821893440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208599 (or 208583 counting only the distinct ones).

The product of its (nonzero) digits is 4756340736, while the sum is 81.

The spelling of 387888821893440 in words is "three hundred eighty-seven trillion, eight hundred eighty-eight billion, eight hundred twenty-one million, eight hundred ninety-three thousand, four hundred forty".