8040408400 has 60 divisors (see below), whose sum is σ = 20453397372. Its totient is φ = 3026974720.

The previous prime is 8040408367. The next prime is 8040408421. The reversal of 8040408400 is 48040408.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 16548624 + 8023859776 = 4068^2 + 89576^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 584407 + ... + 598006.

Almost surely, 2^8040408400 is an apocalyptic number.

8040408400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8040408400 is an abundant number, since it is smaller than the sum of its proper divisors (12412988972).

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

8040408400 is a wasteful number, since it uses less digits than its factorization.

8040408400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1182448 (or 1182437 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 8040408400 is about 89668.3243960765. The cubic root of 8040408400 is about 2003.3617129438.

Adding to 8040408400 its reverse (48040408), we get a palindrome (8088448808).

The spelling of 8040408400 in words is "eight billion, forty million, four hundred eight thousand, four hundred".