44400672000 has 432 divisors, whose sum is σ = 166737811968. Its totient is φ = 11323699200.

The previous prime is 44400671989. The next prime is 44400672011. The reversal of 44400672000 is 27600444.

It is an interprime number because it is at equal distance from previous prime (44400671989) and next prime (44400672011).

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 47 ways as a sum of consecutive naturals, for example, 6620649 + ... + 6627351.

Almost surely, 2^44400672000 is an apocalyptic number.

44400672000 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 44400672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83368905984).

44400672000 is an abundant number, since it is smaller than the sum of its proper divisors (122337139968).

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

44400672000 is a wasteful number, since it uses less digits than its factorization.

44400672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6763 (or 6736 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The spelling of 44400672000 in words is "forty-four billion, four hundred million, six hundred seventy-two thousand".