408113079948288 has 5632 divisors, whose sum is σ = 1670245097472000. Its totient is φ = 96889208832000.

The previous prime is 408113079948097. The next prime is 408113079948311. The reversal of 408113079948288 is 882849970311804.

408113079948288 is a `hidden beast` number, since 4 + 0 + 8 + 1 + 130 + 7 + 9 + 9 + 482 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (5632).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 6690378359778 + ... + 6690378359838.

Almost surely, 2^{408113079948288} is an apocalyptic number.

408113079948288 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 408113079948288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835122548736000).

408113079948288 is an abundant number, since it is smaller than the sum of its proper divisors (1262132017523712).

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

408113079948288 is a wasteful number, since it uses less digits than its factorization.

408113079948288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 222953472, while the sum is 72.

The spelling of 408113079948288 in words is "four hundred eight trillion, one hundred thirteen billion, seventy-nine million, nine hundred forty-eight thousand, two hundred eighty-eight".