408004444480 has 56 divisors (see below), whose sum is σ = 1028711219688. Its totient is φ = 153601671168.

The previous prime is 408004444423. The next prime is 408004444481. The reversal of 408004444480 is 84444400804.

It can be written as a sum of positive squares in 4 ways, for example, as 88408696896 + 319595747584 = 297336^2 + 565328^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408004444481) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37494969 + ... + 37505848.

Almost surely, 2^408004444480 is an apocalyptic number.

408004444480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

408004444480 is an abundant number, since it is smaller than the sum of its proper divisors (620706775208).

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

408004444480 is a wasteful number, since it uses less digits than its factorization.

408004444480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75000851 (or 75000841 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 40.

The spelling of 408004444480 in words is "four hundred eight billion, four million, four hundred forty-four thousand, four hundred eighty".