40804080804480 has 1024 divisors, whose sum is σ = 160868992204800. Its totient is φ = 8591278080000.

The previous prime is 40804080804479. The next prime is 40804080804493. The reversal of 40804080804480 is 8440808040804.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3594750805 + ... + 3594762155.

It is an arithmetic number, because the mean of its divisors is an integer number (157098625200).

Almost surely, 2^{40804080804480} is an apocalyptic number.

40804080804480 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 40804080804480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80434496102400).

40804080804480 is an abundant number, since it is smaller than the sum of its proper divisors (120064911400320).

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

40804080804480 is a wasteful number, since it uses less digits than its factorization.

40804080804480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11833 (or 11821 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 48.

The spelling of 40804080804480 in words is "forty trillion, eight hundred four billion, eighty million, eight hundred four thousand, four hundred eighty".