4044337957440 has 1008 divisors, whose sum is σ = 16060406019840. Its totient is φ = 967856947200.

The previous prime is 4044337957423. The next prime is 4044337957463. The reversal of 4044337957440 is 447597334404.

It is a happy number.

4044337957440 is a `hidden beast` number, since 4 + 0 + 443 + 3 + 7 + 95 + 74 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 743305120 + ... + 743310560.

It is an arithmetic number, because the mean of its divisors is an integer number (15932942480).

Almost surely, 2^{4044337957440} is an apocalyptic number.

4044337957440 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 4044337957440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8030203009920).

4044337957440 is an abundant number, since it is smaller than the sum of its proper divisors (12016068062400).

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

4044337957440 is a wasteful number, since it uses less digits than its factorization.

4044337957440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5574 (or 5541 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 54.

The spelling of 4044337957440 in words is "four trillion, forty-four billion, three hundred thirty-seven million, nine hundred fifty-seven thousand, four hundred forty".