44021282400 has 864 divisors, whose sum is σ = 180753431040. Its totient is φ = 9999728640.

The previous prime is 44021282339. The next prime is 44021282401. The reversal of 44021282400 is 428212044.

44021282400 is a `hidden beast` number, since 4 + 40 + 212 + 8 + 2 + 400 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44021282401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 53488389 + ... + 53489211.

It is an arithmetic number, because the mean of its divisors is an integer number (209205360).

Almost surely, 2^44021282400 is an apocalyptic number.

44021282400 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 44021282400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90376715520).

44021282400 is an abundant number, since it is smaller than the sum of its proper divisors (136732148640).

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

44021282400 is a wasteful number, since it uses less digits than its factorization.

44021282400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 44021282400 its reverse (428212044), we get a palindrome (44449494444).

The spelling of 44021282400 in words is "forty-four billion, twenty-one million, two hundred eighty-two thousand, four hundred".