44142432400 has 120 divisors (see below), whose sum is σ = 117323615808. Its totient is φ = 15825600000.

The previous prime is 44142432391. The next prime is 44142432419. The reversal of 44142432400 is 423424144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 241750 + ... + 383050.

Almost surely, 2^44142432400 is an apocalyptic number.

44142432400 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 44142432400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58661807904).

44142432400 is an abundant number, since it is smaller than the sum of its proper divisors (73181183408).

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

44142432400 is a wasteful number, since it uses less digits than its factorization.

44142432400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141401 (or 141390 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 44142432400 its reverse (423424144), we get a palindrome (44565856544).

The spelling of 44142432400 in words is "forty-four billion, one hundred forty-two million, four hundred thirty-two thousand, four hundred".