10044002200032 has 72 divisors (see below), whose sum is σ = 28625131918656. Its totient is φ = 3340674648576.

The previous prime is 10044002200027. The next prime is 10044002200073. The reversal of 10044002200032 is 23000220044001.

10044002200032 is a `hidden beast` number, since 1 + 0 + 0 + 440 + 0 + 220 + 0 + 0 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×10044002200032² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10044002199978 and 10044002200014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38024848 + ... + 38288079.

It is an arithmetic number, because the mean of its divisors is an integer number (397571276648).

Almost surely, 2^{10044002200032} is an apocalyptic number.

10044002200032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10044002200032 is an abundant number, since it is smaller than the sum of its proper divisors (18581129718624).

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

10044002200032 is a wasteful number, since it uses less digits than its factorization.

10044002200032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76313400 (or 76313389 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 10044002200032 its reverse (23000220044001), we get a palindrome (33044222244033).

The spelling of 10044002200032 in words is "ten trillion, forty-four billion, two million, two hundred thousand, thirty-two".