44413488000 has 1024 divisors, whose sum is σ = 197054208000. Its totient is φ = 9604915200.

The previous prime is 44413487983. The next prime is 44413488001. The reversal of 44413488000 is 88431444.

44413488000 is a `hidden beast` number, since 444 + 134 + 8 + 80 + 0 + 0 = 666.

It is a super-2 number, since 2×44413488000² (a number of 22 digits) contains 22 as substring.

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 (44413488001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 57455614 + ... + 57456386.

It is an arithmetic number, because the mean of its divisors is an integer number (192435750).

Almost surely, 2^44413488000 is an apocalyptic number.

44413488000 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 44413488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98527104000).

44413488000 is an abundant number, since it is smaller than the sum of its proper divisors (152640720000).

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

44413488000 is a wasteful number, since it uses less digits than its factorization.

44413488000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 44413488000 in words is "forty-four billion, four hundred thirteen million, four hundred eighty-eight thousand".