44040080400 has 120 divisors (see below), whose sum is σ = 142472232384. Its totient is φ = 11627712000.

The previous prime is 44040080393. The next prime is 44040080477. The reversal of 44040080400 is 408004044.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60484 + ... + 302883.

Almost surely, 2^44040080400 is an apocalyptic number.

44040080400 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 44040080400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71236116192).

44040080400 is an abundant number, since it is smaller than the sum of its proper divisors (98432151984).

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

44040080400 is a wasteful number, since it uses less digits than its factorization.

44040080400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363489 (or 363478 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 44040080400 its reverse (408004044), we get a palindrome (44448084444).

The spelling of 44040080400 in words is "forty-four billion, forty million, eighty thousand, four hundred".