4404390100965 has 64 divisors (see below), whose sum is σ = 8291108678400. Its totient is φ = 2210699907072.

The previous prime is 4404390100951. The next prime is 4404390100993. The reversal of 4404390100965 is 5690010934044.

4404390100965 is a `hidden beast` number, since 440 + 43 + 9 + 0 + 100 + 9 + 65 = 666.

It is not a de Polignac number, because 4404390100965 - 2¹⁶ = 4404390035429 is a prime.

It is a super-2 number, since 2×4404390100965² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 4404390100965.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 47145421 + ... + 47238749.

It is an arithmetic number, because the mean of its divisors is an integer number (129548573100).

Almost surely, 2^{4404390100965} is an apocalyptic number.

4404390100965 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4404390100965 is a deficient number, since it is larger than the sum of its proper divisors (3886718577435).

4404390100965 is a wasteful number, since it uses less digits than its factorization.

4404390100965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113923 (or 113917 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 4404390100965 in words is "four trillion, four hundred four billion, three hundred ninety million, one hundred thousand, nine hundred sixty-five".