4114663612800 has 192 divisors, whose sum is σ = 14595187046160. Its totient is φ = 1012840243200.

The previous prime is 4114663612771. The next prime is 4114663612811. The reversal of 4114663612800 is 82163664114.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 16360231 + ... + 16609830.

Almost surely, 2^{4114663612800} is an apocalyptic number.

4114663612800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4114663612800 is an abundant number, since it is smaller than the sum of its proper divisors (10480523433360).

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

4114663612800 is a wasteful number, since it uses less digits than its factorization.

4114663612800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32970101 (or 32970084 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 4114663612800 in words is "four trillion, one hundred fourteen billion, six hundred sixty-three million, six hundred twelve thousand, eight hundred".