40841538108800 has 288 divisors, whose sum is σ = 119427679212240. Its totient is φ = 13709046067200.

The previous prime is 40841538108799. The next prime is 40841538108803. The reversal of 40841538108800 is 880183514804.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40841538108803) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 976709 + ... + 9090491.

Almost surely, 2^{40841538108800} is an apocalyptic number.

40841538108800 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 40841538108800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59713839606120).

40841538108800 is an abundant number, since it is smaller than the sum of its proper divisors (78586141103440).

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

40841538108800 is a wasteful number, since it uses less digits than its factorization.

40841538108800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8113842 (or 8113814 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 50.

The spelling of 40841538108800 in words is "forty trillion, eight hundred forty-one billion, five hundred thirty-eight million, one hundred eight thousand, eight hundred".