386412328189440 has 1280 divisors, whose sum is σ = 1681431707197440. Its totient is φ = 83127214669824.

The previous prime is 386412328189421. The next prime is 386412328189471. The reversal of 386412328189440 is 44981823214683.

386412328189440 is a `hidden beast` number, since 3 + 8 + 6 + 4 + 1 + 2 + 3 + 2 + 8 + 189 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 665957689 + ... + 666537671.

It is an arithmetic number, because the mean of its divisors is an integer number (1313618521248).

Almost surely, 2^{386412328189440} is an apocalyptic number.

386412328189440 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 386412328189440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840715853598720).

386412328189440 is an abundant number, since it is smaller than the sum of its proper divisors (1295019379008000).

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

386412328189440 is an frugal number, since it uses more digits than its factorization.

386412328189440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580051 (or 580017 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 63.

The spelling of 386412328189440 in words is "three hundred eighty-six trillion, four hundred twelve billion, three hundred twenty-eight million, one hundred eighty-nine thousand, four hundred forty".