40408804800000 has 3840 divisors, whose sum is σ = 194050679961600. Its totient is φ = 8062156800000.

The previous prime is 40408804799963. The next prime is 40408804800031. The reversal of 40408804800000 is 840880404.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 74692799730 + ... + 74692800270.

It is an arithmetic number, because the mean of its divisors is an integer number (50534031240).

Almost surely, 2^{40408804800000} is an apocalyptic number.

40408804800000 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 40408804800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97025339980800).

40408804800000 is an abundant number, since it is smaller than the sum of its proper divisors (153641875161600).

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

40408804800000 is an equidigital number, since it uses as much as digits as its factorization.

40408804800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The spelling of 40408804800000 in words is "forty trillion, four hundred eight billion, eight hundred four million, eight hundred thousand".