44140166400 has 216 divisors, whose sum is σ = 158915391264. Its totient is φ = 10700595200.

The previous prime is 44140166383. The next prime is 44140166491. The reversal of 44140166400 is 466104144.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 23 ways as a sum of consecutive naturals, for example, 106702 + ... + 315698.

It is an arithmetic number, because the mean of its divisors is an integer number (735719404).

Almost surely, 2^44140166400 is an apocalyptic number.

44140166400 is a gapful number since it is divisible by the number (40) 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 44140166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79457695632).

44140166400 is an abundant number, since it is smaller than the sum of its proper divisors (114775224864).

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

44140166400 is a wasteful number, since it uses less digits than its factorization.

44140166400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209037 (or 209018 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 44140166400 in words is "forty-four billion, one hundred forty million, one hundred sixty-six thousand, four hundred".