440539729012096 has 128 divisors (see below), whose sum is σ = 1005171091096320. Its totient is φ = 188396893440000.

The previous prime is 440539729012091. The next prime is 440539729012111. The reversal of 440539729012096 is 690210927935044.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×440539729012096² (a number of 30 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (61) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440539729012091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4250169871 + ... + 4250273521.

It is an arithmetic number, because the mean of its divisors is an integer number (7852899149190).

Almost surely, 2^{440539729012096} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440539729012096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502585545548160).

440539729012096 is an abundant number, since it is smaller than the sum of its proper divisors (564631362084224).

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

440539729012096 is a wasteful number, since it uses less digits than its factorization.

440539729012096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113824 (or 113812 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 61.

The spelling of 440539729012096 in words is "four hundred forty trillion, five hundred thirty-nine billion, seven hundred twenty-nine million, twelve thousand, ninety-six".