40440651664880 has 320 divisors, whose sum is σ = 105460920069120. Its totient is φ = 14348628787200.

The previous prime is 40440651664823. The next prime is 40440651664909. The reversal of 40440651664880 is 8846615604404.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 983530082 + ... + 983571198.

It is an arithmetic number, because the mean of its divisors is an integer number (329565375216).

Almost surely, 2^{40440651664880} is an apocalyptic number.

40440651664880 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 40440651664880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52730460034560).

40440651664880 is an abundant number, since it is smaller than the sum of its proper divisors (65020268404240).

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

40440651664880 is a wasteful number, since it uses less digits than its factorization.

40440651664880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41788 (or 41782 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 56.

The spelling of 40440651664880 in words is "forty trillion, four hundred forty billion, six hundred fifty-one million, six hundred sixty-four thousand, eight hundred eighty".