389416318986240 has 3072 divisors, whose sum is σ = 1767658733568000. Its totient is φ = 79094973726720.

The previous prime is 389416318986229. The next prime is 389416318986257. The reversal of 389416318986240 is 42689813614983.

389416318986240 is a `hidden beast` number, since 3 + 8 + 9 + 416 + 3 + 189 + 8 + 6 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 358248682977 + ... + 358248684063.

It is an arithmetic number, because the mean of its divisors is an integer number (575409744000).

Almost surely, 2^{389416318986240} is an apocalyptic number.

389416318986240 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 389416318986240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883829366784000).

389416318986240 is an abundant number, since it is smaller than the sum of its proper divisors (1378242414581760).

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

389416318986240 is a wasteful number, since it uses less digits than its factorization.

389416318986240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1663 (or 1637 counting only the distinct ones).

The product of its (nonzero) digits is 429981696, while the sum is 72.

The spelling of 389416318986240 in words is "three hundred eighty-nine trillion, four hundred sixteen billion, three hundred eighteen million, nine hundred eighty-six thousand, two hundred forty".