117401126400 has 720 divisors, whose sum is σ = 446437854720. Its totient is φ = 29399040000.

The previous prime is 117401126389. The next prime is 117401126431. The reversal of 117401126400 is 4621104711.

117401126400 is a `hidden beast` number, since 1 + 1 + 7 + 4 + 0 + 1 + 12 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 156326025 + ... + 156326775.

It is an arithmetic number, because the mean of its divisors is an integer number (620052576).

Almost surely, 2^117401126400 is an apocalyptic number.

117401126400 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 117401126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223218927360).

117401126400 is an abundant number, since it is smaller than the sum of its proper divisors (329036728320).

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

117401126400 is a wasteful number, since it uses less digits than its factorization.

117401126400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 117401126400 in words is "one hundred seventeen billion, four hundred one million, one hundred twenty-six thousand, four hundred".