386542800420 has 240 divisors, whose sum is σ = 1283359401408. Its totient is φ = 86902260480.

The previous prime is 386542800401. The next prime is 386542800463. The reversal of 386542800420 is 24008245683.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8765667 + ... + 8809653.

Almost surely, 2^386542800420 is an apocalyptic number.

386542800420 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 386542800420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641679700704).

386542800420 is an abundant number, since it is smaller than the sum of its proper divisors (896816600988).

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

386542800420 is a wasteful number, since it uses less digits than its factorization.

386542800420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44088 (or 44065 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The spelling of 386542800420 in words is "three hundred eighty-six billion, five hundred forty-two million, eight hundred thousand, four hundred twenty".