44084400000 has 384 divisors, whose sum is σ = 155046013920. Its totient is φ = 11059200000.

The previous prime is 44084399987. The next prime is 44084400067. The reversal of 44084400000 is 448044.

It is a tau number, because it is divible by the number of its divisors (384).

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 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, 20398920 + ... + 20401080.

Almost surely, 2^44084400000 is an apocalyptic number.

44084400000 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 44084400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77523006960).

44084400000 is an abundant number, since it is smaller than the sum of its proper divisors (110961613920).

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

44084400000 is an equidigital number, since it uses as much as digits as its factorization.

44084400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2220 (or 2188 counting only the distinct ones).

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

Adding to 44084400000 its reverse (448044), we get a palindrome (44084848044).

The spelling of 44084400000 in words is "forty-four billion, eighty-four million, four hundred thousand".