408933252040 has 16 divisors (see below), whose sum is σ = 920099817180. Its totient is φ = 163573300800.

The previous prime is 408933252023. The next prime is 408933252073. The reversal of 408933252040 is 40252339804.

It can be written as a sum of positive squares in 2 ways, for example, as 386986014724 + 21947237316 = 622082^2 + 148146^2 .

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 10223331301 = 408933252040 / (4 + 0 + 8 + 9 + 3 + 3 + 2 + 5 + 2 + 0 + 4 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 408933251984 and 408933252002.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5111665611 + ... + 5111665690.

Almost surely, 2^408933252040 is an apocalyptic number.

408933252040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

408933252040 is an abundant number, since it is smaller than the sum of its proper divisors (511166565140).

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

408933252040 is a wasteful number, since it uses less digits than its factorization.

408933252040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10223331312 (or 10223331308 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The spelling of 408933252040 in words is "four hundred eight billion, nine hundred thirty-three million, two hundred fifty-two thousand, forty".