440481100896 has 96 divisors (see below), whose sum is σ = 1285429380480. Its totient is φ = 146747852928.

The previous prime is 440481100879. The next prime is 440481100909. The reversal of 440481100896 is 698001184044.

440481100896 is a `hidden beast` number, since 440 + 4 + 8 + 110 + 0 + 8 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1476555 + ... + 1749621.

It is an arithmetic number, because the mean of its divisors is an integer number (13389889380).

Almost surely, 2^440481100896 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 440481100896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642714690240).

440481100896 is an abundant number, since it is smaller than the sum of its proper divisors (844948279584).

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

440481100896 is a wasteful number, since it uses less digits than its factorization.

440481100896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274953 (or 274939 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 440481100896 in words is "four hundred forty billion, four hundred eighty-one million, one hundred thousand, eight hundred ninety-six".