408040488000 has 336 divisors, whose sum is σ = 1468966525104. Its totient is φ = 108114739200.

The previous prime is 408040487969. The next prime is 408040488001. The reversal of 408040488000 is 884040804.

It can be written as a sum of positive squares in 8 ways, for example, as 249872016384 + 158168471616 = 499872^2 + 397704^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (408040488001) 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 47 ways as a sum of consecutive naturals, for example, 11285952 + ... + 11322048.

Almost surely, 2^408040488000 is an apocalyptic number.

408040488000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408040488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734483262552).

408040488000 is an abundant number, since it is smaller than the sum of its proper divisors (1060926037104).

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

408040488000 is a wasteful number, since it uses less digits than its factorization.

408040488000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36287 (or 36264 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The spelling of 408040488000 in words is "four hundred eight billion, forty million, four hundred eighty-eight thousand".