40444490084160 has 224 divisors, whose sum is σ = 128582035545600. Its totient is φ = 10770861588480.

The previous prime is 40444490084147. The next prime is 40444490084197. The reversal of 40444490084160 is 6148009444404.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3841241776 + ... + 3841252304.

It is an arithmetic number, because the mean of its divisors is an integer number (574026944400).

Almost surely, 2^{40444490084160} is an apocalyptic number.

40444490084160 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 40444490084160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64291017772800).

40444490084160 is an abundant number, since it is smaller than the sum of its proper divisors (88137545461440).

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

40444490084160 is a wasteful number, since it uses less digits than its factorization.

40444490084160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15489 (or 15479 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 48.

The spelling of 40444490084160 in words is "forty trillion, four hundred forty-four billion, four hundred ninety million, eighty-four thousand, one hundred sixty".