44320130400 has 288 divisors, whose sum is σ = 177554135808. Its totient is φ = 9351014400.

The previous prime is 44320130287. The next prime is 44320130423. The reversal of 44320130400 is 403102344.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116935 + ... + 319865.

It is an arithmetic number, because the mean of its divisors is an integer number (616507416).

Almost surely, 2^44320130400 is an apocalyptic number.

44320130400 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 44320130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88777067904).

44320130400 is an abundant number, since it is smaller than the sum of its proper divisors (133234005408).

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

44320130400 is a wasteful number, since it uses less digits than its factorization.

44320130400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202974 (or 202961 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 44320130400 its reverse (403102344), we get a palindrome (44723232744).

The spelling of 44320130400 in words is "forty-four billion, three hundred twenty million, one hundred thirty thousand, four hundred".