40800480400 has 30 divisors (see below), whose sum is σ = 98023155122. Its totient is φ = 16320192000.

The previous prime is 40800480389. The next prime is 40800480421. The reversal of 40800480400 is 408400804.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 8932518144 + 31867962256 = 94512^2 + 178516^2 .

It is a super-3 number, since 3×40800480400³ (a number of 33 digits) contains 333 as substring.

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, 51000201 + ... + 51001000.

Almost surely, 2^40800480400 is an apocalyptic number.

40800480400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40800480400 is an abundant number, since it is smaller than the sum of its proper divisors (57222674722).

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

40800480400 is a wasteful number, since it uses less digits than its factorization.

40800480400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102001219 (or 102001208 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The spelling of 40800480400 in words is "forty billion, eight hundred million, four hundred eighty thousand, four hundred".