12739914230400 has 2304 divisors, whose sum is σ = 57409575552000. Its totient is φ = 2743372800000.

The previous prime is 12739914230359. The next prime is 12739914230401. The reversal of 12739914230400 is 403241993721.

12739914230400 is a `hidden beast` number, since 1 + 2 + 7 + 3 + 9 + 9 + 1 + 4 + 230 + 400 = 666.

12739914230400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (12739914230401) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 20190038085 + ... + 20190038715.

It is an arithmetic number, because the mean of its divisors is an integer number (24917350500).

Almost surely, 2^{12739914230400} is an apocalyptic number.

12739914230400 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 12739914230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28704787776000).

12739914230400 is an abundant number, since it is smaller than the sum of its proper divisors (44669661321600).

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

12739914230400 is a wasteful number, since it uses less digits than its factorization.

12739914230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 12739914230400 in words is "twelve trillion, seven hundred thirty-nine billion, nine hundred fourteen million, two hundred thirty thousand, four hundred".