40048840480800 has 144 divisors (see below), whose sum is σ = 130361077607040. Its totient is φ = 10679518602240.

The previous prime is 40048840480787. The next prime is 40048840480807. The reversal of 40048840480800 is 808404884004.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 40048840480800.

It is not an unprimeable number, because it can be changed into a prime (40048840480807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 232649161 + ... + 232821239.

It is an arithmetic number, because the mean of its divisors is an integer number (905285261160).

Almost surely, 2^{40048840480800} is an apocalyptic number.

40048840480800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40048840480800 is an abundant number, since it is smaller than the sum of its proper divisors (90312237126240).

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

40048840480800 is a wasteful number, since it uses less digits than its factorization.

40048840480800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269075 (or 269062 counting only the distinct ones).

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

The spelling of 40048840480800 in words is "forty trillion, forty-eight billion, eight hundred forty million, four hundred eighty thousand, eight hundred".