4051724071122 has 256 divisors, whose sum is σ = 11742820024320. Its totient is φ = 1004929680384.

The previous prime is 4051724071033. The next prime is 4051724071163. The reversal of 4051724071122 is 2211704271504.

4051724071122 is a `hidden beast` number, since 4 + 0 + 517 + 24 + 0 + 7 + 112 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 108831403 + ... + 108868625.

It is an arithmetic number, because the mean of its divisors is an integer number (45870390720).

Almost surely, 2^{4051724071122} is an apocalyptic number.

4051724071122 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4051724071122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5871410012160).

4051724071122 is an abundant number, since it is smaller than the sum of its proper divisors (7691095953198).

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

4051724071122 is a wasteful number, since it uses less digits than its factorization.

4051724071122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38574 (or 38568 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The spelling of 4051724071122 in words is "four trillion, fifty-one billion, seven hundred twenty-four million, seventy-one thousand, one hundred twenty-two".