10044954180 has 288 divisors, whose sum is σ = 33182542848. Its totient is φ = 2547417600.

The previous prime is 10044954167. The next prime is 10044954217. The reversal of 10044954180 is 8145944001.

10044954180 is a `hidden beast` number, since 100 + 4 + 4 + 9 + 541 + 8 + 0 = 666.

10044954180 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10044954180² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 9189714 + ... + 9190806.

Almost surely, 2^10044954180 is an apocalyptic number.

10044954180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10044954180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16591271424).

10044954180 is an abundant number, since it is smaller than the sum of its proper divisors (23137588668).

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

10044954180 is a wasteful number, since it uses less digits than its factorization.

10044954180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209 (or 1195 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 10044954180 in words is "ten billion, forty-four million, nine hundred fifty-four thousand, one hundred eighty".