440811012096 has 1215 divisors, whose sum is σ = 1692898633881. Its totient is φ = 110139015168.

The previous prime is 440811012073. The next prime is 440811012119. The reversal of 440811012096 is 690210118044.

The square root of 440811012096 is 663936.

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

440811012096 is a `hidden beast` number, since 440 + 8 + 1 + 1 + 0 + 1 + 209 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (440811012073) and next prime (440811012119).

It can be written as a sum of positive squares in only one way, i.e., 65208729600 + 375602282496 = 255360^2 + 612864^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 440811012096.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 23200579575 + ... + 23200579593.

Almost surely, 2^440811012096 is an apocalyptic number.

440811012096 is the 663936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440811012096

440811012096 is an abundant number, since it is smaller than the sum of its proper divisors (1252087621785).

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

440811012096 is a wasteful number, since it uses less digits than its factorization.

440811012096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

Multiplying 440811012096 by its sum of digits (36), we get a square (15869196435456 = 3983616²).

440811012096 divided by its sum of digits (36) gives a square (12244750336 = 110656²).

The spelling of 440811012096 in words is "four hundred forty billion, eight hundred eleven million, twelve thousand, ninety-six".