386625254400 has 3168 divisors, whose sum is σ = 1926006251520. Its totient is φ = 71663616000.

The previous prime is 386625254399. The next prime is 386625254417. The reversal of 386625254400 is 4452526683.

386625254400 is a `hidden beast` number, since 3 + 86 + 6 + 2 + 525 + 4 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

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 287 ways as a sum of consecutive naturals, for example, 10449331182 + ... + 10449331218.

Almost surely, 2^386625254400 is an apocalyptic number.

386625254400 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 386625254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963003125760).

386625254400 is an abundant number, since it is smaller than the sum of its proper divisors (1539380997120).

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

386625254400 is a wasteful number, since it uses less digits than its factorization.

386625254400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 386625254400 in words is "three hundred eighty-six billion, six hundred twenty-five million, two hundred fifty-four thousand, four hundred".