4118724127296 has 315 divisors, whose sum is σ = 12414842418297. Its totient is φ = 1350161809920.

The previous prime is 4118724127249. The next prime is 4118724127351. The reversal of 4118724127296 is 6927214278114.

It is a happy number.

The square root of 4118724127296 is 2029464.

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

4118724127296 is a `hidden beast` number, since 4 + 1 + 1 + 8 + 72 + 412 + 72 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2760249960000 + 1358474167296 = 1661400^2 + 1165536^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 10374619770 + ... + 10374620166.

Almost surely, 2^{4118724127296} is an apocalyptic number.

4118724127296 is the 2029464-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4118724127296

4118724127296 is an abundant number, since it is smaller than the sum of its proper divisors (8296118291001).

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

4118724127296 is an frugal number, since it uses more digits than its factorization.

4118724127296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 473 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The spelling of 4118724127296 in words is "four trillion, one hundred eighteen billion, seven hundred twenty-four million, one hundred twenty-seven thousand, two hundred ninety-six".