116630441216400 has 120 divisors (see below), whose sum is σ = 395583014218464. Its totient is φ = 29271953868800.

The previous prime is 116630441216357. The next prime is 116630441216441. The reversal of 116630441216400 is 4612144036611.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×116630441216400³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2858568846 + ... + 2858609645.

Almost surely, 2^{116630441216400} is an apocalyptic number.

116630441216400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

116630441216400 is an abundant number, since it is smaller than the sum of its proper divisors (278952573002064).

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

116630441216400 is a wasteful number, since it uses less digits than its factorization.

116630441216400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5717178529 (or 5717178518 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 116630441216400 in words is "one hundred sixteen trillion, six hundred thirty billion, four hundred forty-one million, two hundred sixteen thousand, four hundred".