44641382400 has 468 divisors, whose sum is σ = 162803988360. Its totient is φ = 11688345600.

The previous prime is 44641382371. The next prime is 44641382419. The reversal of 44641382400 is 428314644.

44641382400 is a `hidden beast` number, since 4 + 4 + 641 + 3 + 8 + 2 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 54373990 + ... + 54374810.

It is an arithmetic number, because the mean of its divisors is an integer number (347871770).

Almost surely, 2^44641382400 is an apocalyptic number.

44641382400 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 44641382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81401994180).

44641382400 is an abundant number, since it is smaller than the sum of its proper divisors (118162605960).

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

44641382400 is a wasteful number, since it uses less digits than its factorization.

44641382400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 44641382400 in words is "forty-four billion, six hundred forty-one million, three hundred eighty-two thousand, four hundred".