8042002408 has 16 divisors (see below), whose sum is σ = 16449550560. Its totient is φ = 3655455600.

The previous prime is 8042002391. The next prime is 8042002411.

8042002408 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 45693108 + ... + 45693283.

It is an arithmetic number, because the mean of its divisors is an integer number (1028096910).

Almost surely, 2^8042002408 is an apocalyptic number.

8042002408 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

8042002408 is an abundant number, since it is smaller than the sum of its proper divisors (8407548152).

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

8042002408 is a wasteful number, since it uses less digits than its factorization.

8042002408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91386408 (or 91386404 counting only the distinct ones).

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

The square root of 8042002408 is about 89677.2123117127. The cubic root of 8042002408 is about 2003.4940927697.

It can be divided in two parts, 804200 and 2408, that added together give a palindrome (806608).

The spelling of 8042002408 in words is "eight billion, forty-two million, two thousand, four hundred eight".