44806200400 has 120 divisors (see below), whose sum is σ = 116302026680. Its totient is φ = 16490373120.

The previous prime is 44806200379. The next prime is 44806200401. The reversal of 44806200400 is 400260844.

It can be written as a sum of positive squares in 12 ways, for example, as 37626688576 + 7179511824 = 193976^2 + 84732^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44806200401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1613836 + ... + 1641364.

Almost surely, 2^44806200400 is an apocalyptic number.

44806200400 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 44806200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58151013340).

44806200400 is an abundant number, since it is smaller than the sum of its proper divisors (71495826280).

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

44806200400 is a wasteful number, since it uses less digits than its factorization.

44806200400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27873 (or 27862 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The spelling of 44806200400 in words is "forty-four billion, eight hundred six million, two hundred thousand, four hundred".