44142222400 has 84 divisors (see below), whose sum is σ = 112363003620. Its totient is φ = 17048012800.

The previous prime is 44142222379. The next prime is 44142222431. The reversal of 44142222400 is 422224144.

It can be written as a sum of positive squares in 6 ways, for example, as 52301824 + 44089920576 = 7232^2 + 209976^2 .

It is a super-2 number, since 2×44142222400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 429271 + ... + 522070.

It is an arithmetic number, because the mean of its divisors is an integer number (1337654805).

Almost surely, 2^44142222400 is an apocalyptic number.

44142222400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44142222400 is an abundant number, since it is smaller than the sum of its proper divisors (68220781220).

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

44142222400 is a wasteful number, since it uses less digits than its factorization.

44142222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951392 (or 951377 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 44142222400 its reverse (422224144), we get a palindrome (44564446544).

The spelling of 44142222400 in words is "forty-four billion, one hundred forty-two million, two hundred twenty-two thousand, four hundred".