40448433216720 has 80 divisors (see below), whose sum is σ = 125391602905920. Its totient is φ = 10786123272192.

The previous prime is 40448433216683. The next prime is 40448433216727. The reversal of 40448433216720 is 2761233484404.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a self number, because there is not a number n which added to its sum of digits gives 40448433216720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40448433216727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20667951 + ... + 22540209.

It is an arithmetic number, because the mean of its divisors is an integer number (1567395036324).

Almost surely, 2^{40448433216720} is an apocalyptic number.

40448433216720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40448433216720 is an abundant number, since it is smaller than the sum of its proper divisors (84943169689200).

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

40448433216720 is a wasteful number, since it uses less digits than its factorization.

40448433216720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1962292 (or 1962286 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 48.

The spelling of 40448433216720 in words is "forty trillion, four hundred forty-eight billion, four hundred thirty-three million, two hundred sixteen thousand, seven hundred twenty".