4113968437264 has 135 divisors (see below), whose sum is σ = 9373482469533. Its totient is φ = 1744071498624.

The previous prime is 4113968437261. The next prime is 4113968437279. The reversal of 4113968437264 is 4627348693114.

It is a happy number.

The square root of 4113968437264 is 2028292.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4089697290000 + 24271147264 = 2022300^2 + 155792^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4113968437199 and 4113968437208.

It is not an unprimeable number, because it can be changed into a prime (4113968437261) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6076762494 + ... + 6076763170.

Almost surely, 2^{4113968437264} is an apocalyptic number.

4113968437264 is the 2028292-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4113968437264

4113968437264 is an abundant number, since it is smaller than the sum of its proper divisors (5259514032269).

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

4113968437264 is an frugal number, since it uses more digits than its factorization.

4113968437264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1590 (or 793 counting only the distinct ones).

The product of its digits is 20901888, while the sum is 58.

The spelling of 4113968437264 in words is "four trillion, one hundred thirteen billion, nine hundred sixty-eight million, four hundred thirty-seven thousand, two hundred sixty-four".