12401314844400 has 600 divisors, whose sum is σ = 45578698919424. Its totient is φ = 3227534553600.

The previous prime is 12401314844383. The next prime is 12401314844423. The reversal of 12401314844400 is 444841310421.

12401314844400 is a `hidden beast` number, since 1 + 2 + 4 + 0 + 131 + 4 + 84 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×12401314844400² (a number of 27 digits) contains 22 as substring.

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 119 ways as a sum of consecutive naturals, for example, 2266733665 + ... + 2266739135.

Almost surely, 2^{12401314844400} is an apocalyptic number.

12401314844400 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 12401314844400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22789349459712).

12401314844400 is an abundant number, since it is smaller than the sum of its proper divisors (33177384075024).

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

12401314844400 is a wasteful number, since it uses less digits than its factorization.

12401314844400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7171 (or 7151 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 12401314844400 in words is "twelve trillion, four hundred one billion, three hundred fourteen million, eight hundred forty-four thousand, four hundred".