116435642400 has 1728 divisors, whose sum is σ = 545668824960. Its totient is φ = 23688806400.

The previous prime is 116435642399. The next prime is 116435642419. The reversal of 116435642400 is 4246534611.

116435642400 is a `hidden beast` number, since 1 + 1 + 6 + 4 + 3 + 5 + 642 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×116435642400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 849895132 + ... + 849895268.

It is an arithmetic number, because the mean of its divisors is an integer number (315780570).

Almost surely, 2^116435642400 is an apocalyptic number.

116435642400 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 116435642400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272834412480).

116435642400 is an abundant number, since it is smaller than the sum of its proper divisors (429233182560).

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

116435642400 is a wasteful number, since it uses less digits than its factorization.

116435642400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 116435642400 in words is "one hundred sixteen billion, four hundred thirty-five million, six hundred forty-two thousand, four hundred".