44355655344 has 720 divisors, whose sum is σ = 166350186240. Its totient is φ = 10059033600.

The previous prime is 44355655327. The next prime is 44355655361.

44355655344 is nontrivially palindromic in base 10.

44355655344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (44355655327) and next prime (44355655361).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 44355655293 and 44355655302.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 70293909 + ... + 70294539.

Almost surely, 2^44355655344 is an apocalyptic number.

44355655344 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 44355655344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83175093120).

44355655344 is an abundant number, since it is smaller than the sum of its proper divisors (121994530896).

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

44355655344 is a wasteful number, since it uses less digits than its factorization.

44355655344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 686 counting only the distinct ones).

The product of its digits is 8640000, while the sum is 48.

The spelling of 44355655344 in words is "forty-four billion, three hundred fifty-five million, six hundred fifty-five thousand, three hundred forty-four".