40812080384000 has 384 divisors, whose sum is σ = 104540286614400. Its totient is φ = 15897527910400.

The previous prime is 40812080383961. The next prime is 40812080384063. The reversal of 40812080384000 is 48308021804.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1616115374 + ... + 1616140626.

It is an arithmetic number, because the mean of its divisors is an integer number (272240329725).

Almost surely, 2^{40812080384000} is an apocalyptic number.

40812080384000 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 40812080384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52270143307200).

40812080384000 is an abundant number, since it is smaller than the sum of its proper divisors (63728206230400).

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

40812080384000 is a wasteful number, since it uses less digits than its factorization.

40812080384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25456 (or 25426 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 38.

The spelling of 40812080384000 in words is "forty trillion, eight hundred twelve billion, eighty million, three hundred eighty-four thousand".