44088480000 has 540 divisors, whose sum is σ = 168283903788. Its totient is φ = 11059200000.

The previous prime is 44088479993. The next prime is 44088480001. The reversal of 44088480000 is 8488044.

It can be written as a sum of positive squares in 10 ways, for example, as 36057452544 + 8031027456 = 189888^2 + 89616^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44088480001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 24479100 + ... + 24480900.

Almost surely, 2^44088480000 is an apocalyptic number.

44088480000 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 44088480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84141951894).

44088480000 is an abundant number, since it is smaller than the sum of its proper divisors (124195423788).

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

44088480000 is a wasteful number, since it uses less digits than its factorization.

44088480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1860 (or 1828 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The spelling of 44088480000 in words is "forty-four billion, eighty-eight million, four hundred eighty thousand".