44403412222400 has 672 divisors, whose sum is σ = 141016763635200. Its totient is φ = 13353390489600.

The previous prime is 44403412222387. The next prime is 44403412222439. The reversal of 44403412222400 is 422221430444.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6391735727 + ... + 6391742673.

Almost surely, 2^{44403412222400} is an apocalyptic number.

44403412222400 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 44403412222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70508381817600).

44403412222400 is an abundant number, since it is smaller than the sum of its proper divisors (96613351412800).

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

44403412222400 is a wasteful number, since it uses less digits than its factorization.

44403412222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8805 (or 8790 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 44403412222400 its reverse (422221430444), we get a palindrome (44825633652844).

The spelling of 44403412222400 in words is "forty-four trillion, four hundred three billion, four hundred twelve million, two hundred twenty-two thousand, four hundred".