389223014400 has 1344 divisors, whose sum is σ = 1599190502400. Its totient is φ = 93162700800.

The previous prime is 389223014399. The next prime is 389223014423. The reversal of 389223014400 is 4410322983.

389223014400 is a `hidden beast` number, since 3 + 8 + 9 + 2 + 230 + 14 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4926873561 + ... + 4926873639.

Almost surely, 2^389223014400 is an apocalyptic number.

389223014400 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 389223014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799595251200).

389223014400 is an abundant number, since it is smaller than the sum of its proper divisors (1209967488000).

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

389223014400 is an frugal number, since it uses more digits than its factorization.

389223014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 389223014400 in words is "three hundred eighty-nine billion, two hundred twenty-three million, fourteen thousand, four hundred".