12934705190400 has 2400 divisors, whose sum is σ = 59365621732032. Its totient is φ = 2713662259200.

The previous prime is 12934705190387. The next prime is 12934705190497. The reversal of 12934705190400 is 409150743921.

12934705190400 is a `hidden beast` number, since 1 + 2 + 9 + 3 + 470 + 51 + 90 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

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 239 ways as a sum of consecutive naturals, for example, 5058545922 + ... + 5058548478.

Almost surely, 2^{12934705190400} is an apocalyptic number.

12934705190400 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 12934705190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29682810866016).

12934705190400 is an abundant number, since it is smaller than the sum of its proper divisors (46430916541632).

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

12934705190400 is a wasteful number, since it uses less digits than its factorization.

12934705190400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2662 (or 2632 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 12934705190400 in words is "twelve trillion, nine hundred thirty-four billion, seven hundred five million, one hundred ninety thousand, four hundred".