44501350400 has 432 divisors, whose sum is σ = 123588574200. Its totient is φ = 15872163840.

The previous prime is 44501350379. The next prime is 44501350417. The reversal of 44501350400 is 405310544.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 44501350400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 320153531 + ... + 320153669.

Almost surely, 2^44501350400 is an apocalyptic number.

44501350400 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 44501350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61794287100).

44501350400 is an abundant number, since it is smaller than the sum of its proper divisors (79087223800).

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

44501350400 is a wasteful number, since it uses less digits than its factorization.

44501350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

Adding to 44501350400 its reverse (405310544), we get a palindrome (44906660944).

The spelling of 44501350400 in words is "forty-four billion, five hundred one million, three hundred fifty thousand, four hundred".