4040880480400 has 30 divisors (see below), whose sum is σ = 9708215355122. Its totient is φ = 1616352192000.

The previous prime is 4040880480391. The next prime is 4040880480457. The reversal of 4040880480400 is 40840880404.

It can be written as a sum of positive squares in 3 ways, for example, as 230123602944 + 3810756877456 = 479712^2 + 1952116^2 .

It is a super-3 number, since 3×4040880480400³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5051100201 + ... + 5051101000.

Almost surely, 2^{4040880480400} is an apocalyptic number.

4040880480400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4040880480400 is an abundant number, since it is smaller than the sum of its proper divisors (5667334874722).

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

4040880480400 is a wasteful number, since it uses less digits than its factorization.

4040880480400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10102201219 (or 10102201208 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 40.

The spelling of 4040880480400 in words is "four trillion, forty billion, eight hundred eighty million, four hundred eighty thousand, four hundred".