44461094400 has 1200 divisors, whose sum is σ = 180812303760. Its totient is φ = 10749542400.

The previous prime is 44461094393. The next prime is 44461094401. The reversal of 44461094400 is 449016444.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-2 number, since 2×44461094400² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44461094401) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 728870370 + ... + 728870430.

Almost surely, 2^44461094400 is an apocalyptic number.

44461094400 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 44461094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90406151880).

44461094400 is an abundant number, since it is smaller than the sum of its proper divisors (136351209360).

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

44461094400 is a wasteful number, since it uses less digits than its factorization.

44461094400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 44461094400 in words is "forty-four billion, four hundred sixty-one million, ninety-four thousand, four hundred".