44404070400 has 864 divisors, whose sum is σ = 170784694080. Its totient is φ = 11426365440.

The previous prime is 44404070351. The next prime is 44404070413. The reversal of 44404070400 is 407040444.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 534988759 + ... + 534988841.

It is an arithmetic number, because the mean of its divisors is an integer number (197667470).

Almost surely, 2^44404070400 is an apocalyptic number.

44404070400 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 44404070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85392347040).

44404070400 is an abundant number, since it is smaller than the sum of its proper divisors (126380623680).

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

44404070400 is an equidigital number, since it uses as much as digits as its factorization.

44404070400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 27.

The spelling of 44404070400 in words is "forty-four billion, four hundred four million, seventy thousand, four hundred".