386689645440 has 1280 divisors, whose sum is σ = 1666063365120. Its totient is φ = 83559776256.

The previous prime is 386689645439. The next prime is 386689645487. The reversal of 386689645440 is 44546986683.

386689645440 is a `hidden beast` number, since 3 + 8 + 6 + 6 + 89 + 6 + 4 + 544 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 893047464 + ... + 893047896.

It is an arithmetic number, because the mean of its divisors is an integer number (1301612004).

Almost surely, 2^386689645440 is an apocalyptic number.

386689645440 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 386689645440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833031682560).

386689645440 is an abundant number, since it is smaller than the sum of its proper divisors (1279373719680).

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

386689645440 is a wasteful number, since it uses less digits than its factorization.

386689645440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 63.

The spelling of 386689645440 in words is "three hundred eighty-six billion, six hundred eighty-nine million, six hundred forty-five thousand, four hundred forty".