44340400104 has 512 divisors, whose sum is σ = 154956533760. Its totient is φ = 10202112000.

The previous prime is 44340400103. The next prime is 44340400121. The reversal of 44340400104 is 40100404344.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (44340400103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 73777404 + ... + 73778004.

It is an arithmetic number, because the mean of its divisors is an integer number (302649480).

Almost surely, 2^44340400104 is an apocalyptic number.

44340400104 is a gapful number since it is divisible by the number (44) 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 44340400104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77478266880).

44340400104 is an abundant number, since it is smaller than the sum of its proper divisors (110616133656).

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

44340400104 is a wasteful number, since it uses less digits than its factorization.

44340400104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 44340400104 its reverse (40100404344), we get a palindrome (84440804448).

It can be divided in two parts, 44340 and 400104, that added together give a palindrome (444444).

The spelling of 44340400104 in words is "forty-four billion, three hundred forty million, four hundred thousand, one hundred four".