14640048230400 has 936 divisors, whose sum is σ = 54622282950144. Its totient is φ = 3744379699200.

The previous prime is 14640048230387. The next prime is 14640048230419. The reversal of 14640048230400 is 403284004641.

14640048230400 is a `hidden beast` number, since 1 + 4 + 640 + 0 + 4 + 8 + 2 + 3 + 0 + 4 + 0 + 0 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2421040177 + ... + 2421046223.

It is an arithmetic number, because the mean of its divisors is an integer number (58357139904).

Almost surely, 2^{14640048230400} is an apocalyptic number.

14640048230400 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 14640048230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27311141475072).

14640048230400 is an abundant number, since it is smaller than the sum of its proper divisors (39982234719744).

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

14640048230400 is a wasteful number, since it uses less digits than its factorization.

14640048230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6195 (or 6165 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 14640048230400 in words is "fourteen trillion, six hundred forty billion, forty-eight million, two hundred thirty thousand, four hundred".