44413320400 has 30 divisors (see below), whose sum is σ = 106703003222. Its totient is φ = 17765328000.

The previous prime is 44413320379. The next prime is 44413320409. The reversal of 44413320400 is 402331444.

It can be written as a sum of positive squares in 3 ways, for example, as 1117698624 + 43295621776 = 33432^2 + 208076^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44413320409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55516251 + ... + 55517050.

Almost surely, 2^44413320400 is an apocalyptic number.

44413320400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44413320400 is an abundant number, since it is smaller than the sum of its proper divisors (62289682822).

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

44413320400 is a wasteful number, since it uses less digits than its factorization.

44413320400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111033319 (or 111033308 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 44413320400 its reverse (402331444), we get a palindrome (44815651844).

The spelling of 44413320400 in words is "forty-four billion, four hundred thirteen million, three hundred twenty thousand, four hundred".