44431011120204 has 360 divisors, whose sum is σ = 121043853342720. Its totient is φ = 14204719104768.

The previous prime is 44431011120193. The next prime is 44431011120227. The reversal of 44431011120204 is 40202111013444.

44431011120204 is a `hidden beast` number, since 4 + 4 + 431 + 0 + 1 + 1 + 1 + 20 + 204 = 666.

It is a super-2 number, since 2×44431011120204² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 13227450277 + ... + 13227453635.

It is an arithmetic number, because the mean of its divisors is an integer number (336232925952).

Almost surely, 2^{44431011120204} 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 44431011120204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60521926671360).

44431011120204 is an abundant number, since it is smaller than the sum of its proper divisors (76612842222516).

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

44431011120204 is a wasteful number, since it uses less digits than its factorization.

44431011120204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3731 (or 3647 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 44431011120204 its reverse (40202111013444), we get a palindrome (84633122133648).

The spelling of 44431011120204 in words is "forty-four trillion, four hundred thirty-one billion, eleven million, one hundred twenty thousand, two hundred four".