44336681400 has 384 divisors, whose sum is σ = 158640560640. Its totient is φ = 10137600000.

The previous prime is 44336681387. The next prime is 44336681447. The reversal of 44336681400 is 418663344.

It is a happy number.

It is a super-3 number, since 3×44336681400³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11079400 + ... + 11083400.

It is an arithmetic number, because the mean of its divisors is an integer number (413126460).

Almost surely, 2^44336681400 is an apocalyptic number.

44336681400 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 44336681400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79320280320).

44336681400 is an abundant number, since it is smaller than the sum of its proper divisors (114303879240).

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

44336681400 is a wasteful number, since it uses less digits than its factorization.

44336681400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4127 (or 4118 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The spelling of 44336681400 in words is "forty-four billion, three hundred thirty-six million, six hundred eighty-one thousand, four hundred".