408416934048 has 192 divisors, whose sum is σ = 1117127531520. Its totient is φ = 130507776000.

The previous prime is 408416934043. The next prime is 408416934059. The reversal of 408416934048 is 840439614804.

It is a happy number.

408416934048 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (408416934043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 285805398 + ... + 285806826.

It is an arithmetic number, because the mean of its divisors is an integer number (5818372560).

Almost surely, 2^408416934048 is an apocalyptic number.

408416934048 is a gapful number since it is divisible by the number (48) 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 408416934048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558563765760).

408416934048 is an abundant number, since it is smaller than the sum of its proper divisors (708710597472).

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

408416934048 is a wasteful number, since it uses less digits than its factorization.

408416934048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2311 (or 2303 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 51.

The spelling of 408416934048 in words is "four hundred eight billion, four hundred sixteen million, nine hundred thirty-four thousand, forty-eight".