40841165025920 has 512 divisors, whose sum is σ = 116977582080000. Its totient is φ = 13340898754560.

The previous prime is 40841165025901. The next prime is 40841165025943. The reversal of 40841165025920 is 2952056114804.

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, 3938770496 + ... + 3938780864.

It is an arithmetic number, because the mean of its divisors is an integer number (228471840000).

Almost surely, 2^{40841165025920} is an apocalyptic number.

40841165025920 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 40841165025920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58488791040000).

40841165025920 is an abundant number, since it is smaller than the sum of its proper divisors (76136417054080).

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

40841165025920 is a wasteful number, since it uses less digits than its factorization.

40841165025920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10864 (or 10852 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 47.

The spelling of 40841165025920 in words is "forty trillion, eight hundred forty-one billion, one hundred sixty-five million, twenty-five thousand, nine hundred twenty".