1993023014400 has 840 divisors, whose sum is σ = 8076872593944. Its totient is φ = 483132211200.

The previous prime is 1993023014383. The next prime is 1993023014429. The reversal of 1993023014400 is 44103203991.

1993023014400 is a `hidden beast` number, since 1 + 9 + 9 + 3 + 0 + 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 83 ways as a sum of consecutive naturals, for example, 102633492 + ... + 102652908.

Almost surely, 2^{1993023014400} is an apocalyptic number.

1993023014400 is a gapful number since it is divisible by the number (10) 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 1993023014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4038436296972).

1993023014400 is an abundant number, since it is smaller than the sum of its proper divisors (6083849579544).

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

1993023014400 is an equidigital number, since it uses as much as digits as its factorization.

1993023014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19474 (or 19438 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 1993023014400 in words is "one trillion, nine hundred ninety-three billion, twenty-three million, fourteen thousand, four hundred".