4113923627772 has 144 divisors (see below), whose sum is σ = 12821196652992. Its totient is φ = 1085392189440.

The previous prime is 4113923627741. The next prime is 4113923627837. The reversal of 4113923627772 is 2777263293114.

4113923627772 is a `hidden beast` number, since 4 + 1 + 1 + 3 + 9 + 2 + 3 + 627 + 7 + 7 + 2 = 666.

It is a super-3 number, since 3×4113923627772³ (a number of 39 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8832379 + ... + 9286482.

It is an arithmetic number, because the mean of its divisors is an integer number (89036087868).

Almost surely, 2^{4113923627772} is an apocalyptic number.

4113923627772 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

4113923627772 is an abundant number, since it is smaller than the sum of its proper divisors (8707273025220).

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

4113923627772 is a wasteful number, since it uses less digits than its factorization.

4113923627772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18118948 (or 18118943 counting only the distinct ones).

The product of its digits is 5334336, while the sum is 54.

The spelling of 4113923627772 in words is "four trillion, one hundred thirteen billion, nine hundred twenty-three million, six hundred twenty-seven thousand, seven hundred seventy-two".