8400088488 has 128 divisors (see below), whose sum is σ = 23231577600. Its totient is φ = 2509920000.

The previous prime is 8400088469. The next prime is 8400088519. The reversal of 8400088488 is 8848800048.

It is a super-2 number, since 2×8400088488² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7222195 + ... + 7223357.

It is an arithmetic number, because the mean of its divisors is an integer number (181496700).

Almost surely, 2^8400088488 is an apocalyptic number.

8400088488 is a gapful number since it is divisible by the number (88) 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 8400088488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11615788800).

8400088488 is an abundant number, since it is smaller than the sum of its proper divisors (14831489112).

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

8400088488 is a wasteful number, since it uses less digits than its factorization.

8400088488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1543 (or 1539 counting only the distinct ones).

The product of its (nonzero) digits is 524288, while the sum is 48.

The square root of 8400088488 is about 91651.9966394623. The cubic root of 8400088488 is about 2032.7998516111.

The spelling of 8400088488 in words is "eight billion, four hundred million, eighty-eight thousand, four hundred eighty-eight".