4400100992 has 64 divisors (see below), whose sum is σ = 10046135040. Its totient is φ = 1880478720.

The previous prime is 4400100979. The next prime is 4400101001. The reversal of 4400100992 is 2990010044.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 322142 + ... + 335522.

It is an arithmetic number, because the mean of its divisors is an integer number (156970860).

Almost surely, 2^4400100992 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 4400100992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5023067520).

4400100992 is an abundant number, since it is smaller than the sum of its proper divisors (5646034048).

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

4400100992 is a wasteful number, since it uses less digits than its factorization.

4400100992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13769 (or 13757 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 4400100992 is about 66333.2570585826. The cubic root of 4400100992 is about 1638.6550782105.

The spelling of 4400100992 in words is "four billion, four hundred million, one hundred thousand, nine hundred ninety-two".