387981014400 has 768 divisors, whose sum is σ = 1657393920000. Its totient is φ = 86788177920.

The previous prime is 387981014381. The next prime is 387981014417. The reversal of 387981014400 is 4410189783.

It is a happy number.

387981014400 is a `hidden beast` number, since 38 + 79 + 8 + 101 + 440 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 28418776 + ... + 28432424.

It is an arithmetic number, because the mean of its divisors is an integer number (2158065000).

Almost surely, 2^387981014400 is an apocalyptic number.

387981014400 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 387981014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828696960000).

387981014400 is an abundant number, since it is smaller than the sum of its proper divisors (1269412905600).

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

387981014400 is a wasteful number, since it uses less digits than its factorization.

387981014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13736 (or 13713 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 387981014400 in words is "three hundred eighty-seven billion, nine hundred eighty-one million, fourteen thousand, four hundred".