386765412480 has 192 divisors, whose sum is σ = 1337301365400. Its totient is φ = 103002144768.

The previous prime is 386765412433. The next prime is 386765412493. The reversal of 386765412480 is 84214567683.

It is a happy number.

386765412480 is a `hidden beast` number, since 3 + 8 + 6 + 76 + 541 + 24 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 240578478144 + 146186934336 = 490488^2 + 382344^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4385782 + ... + 4473098.

Almost surely, 2^386765412480 is an apocalyptic number.

386765412480 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 386765412480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668650682700).

386765412480 is an abundant number, since it is smaller than the sum of its proper divisors (950535952920).

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

386765412480 is a wasteful number, since it uses less digits than its factorization.

386765412480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88111 (or 88096 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 386765412480 in words is "three hundred eighty-six billion, seven hundred sixty-five million, four hundred twelve thousand, four hundred eighty".