14793840230400 has 3456 divisors, whose sum is σ = 70139805765120. Its totient is φ = 2911843123200.

The previous prime is 14793840230363. The next prime is 14793840230413. The reversal of 14793840230400 is 403204839741.

14793840230400 is a `hidden beast` number, since 1 + 4 + 7 + 9 + 3 + 8 + 4 + 0 + 230 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 143629516749 + ... + 143629516851.

Almost surely, 2^{14793840230400} is an apocalyptic number.

14793840230400 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 14793840230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35069902882560).

14793840230400 is an abundant number, since it is smaller than the sum of its proper divisors (55345965534720).

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

14793840230400 is a wasteful number, since it uses less digits than its factorization.

14793840230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 14793840230400 in words is "fourteen trillion, seven hundred ninety-three billion, eight hundred forty million, two hundred thirty thousand, four hundred".