4112996865120 has 576 divisors, whose sum is σ = 16548292208448. Its totient is φ = 917102592000.

The previous prime is 4112996865101. The next prime is 4112996865167. The reversal of 4112996865120 is 215686992114.

4112996865120 is a `hidden beast` number, since 4 + 11 + 29 + 96 + 8 + 6 + 512 + 0 = 666.

It is a super-2 number, since 2×4112996865120² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57827980 + ... + 57899060.

It is an arithmetic number, because the mean of its divisors is an integer number (28729673973).

Almost surely, 2^{4112996865120} is an apocalyptic number.

4112996865120 is a gapful number since it is divisible by the number (40) 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 4112996865120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8274146104224).

4112996865120 is an abundant number, since it is smaller than the sum of its proper divisors (12435295343328).

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

4112996865120 is a wasteful number, since it uses less digits than its factorization.

4112996865120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71407 (or 71396 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 4112996865120 in words is "four trillion, one hundred twelve billion, nine hundred ninety-six million, eight hundred sixty-five thousand, one hundred twenty".