4117198111744 has 33 divisors (see below), whose sum is σ = 8230505322477. Its totient is φ = 2058566590464.

The previous prime is 4117198111739. The next prime is 4117198111783. The reversal of 4117198111744 is 4471118917114.

The square root of 4117198111744 is 2029088.

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., 281867551744 + 3835330560000 = 530912^2 + 1958400^2 .

It is a super-2 number, since 2×4117198111744² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 64899112 + ... + 64962520.

Almost surely, 2^{4117198111744} is an apocalyptic number.

4117198111744 is the 2029088-th square number.

It is an amenable number.

4117198111744 is a deficient number, since it is larger than the sum of its proper divisors (4113307210733).

4117198111744 is an frugal number, since it uses more digits than its factorization.

4117198111744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126838 (or 63411 counting only the distinct ones).

The product of its digits is 225792, while the sum is 49.

Multiplying 4117198111744 by its sum of digits (49), we get a square (201742707475456 = 14203616²).

The spelling of 4117198111744 in words is "four trillion, one hundred seventeen billion, one hundred ninety-eight million, one hundred eleven thousand, seven hundred forty-four".