8408400000 has 1152 divisors, whose sum is σ = 38151933120. Its totient is φ = 1612800000.

The previous prime is 8408399981. The next prime is 8408400019. The reversal of 8408400000 is 48048.

It is an interprime number because it is at equal distance from previous prime (8408399981) and next prime (8408400019).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 646799994 + ... + 646800006.

Almost surely, 2^8408400000 is an apocalyptic number.

8408400000 is a gapful number since it is divisible by the number (80) 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 8408400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19075966560).

8408400000 is an abundant number, since it is smaller than the sum of its proper divisors (29743533120).

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

8408400000 is a wasteful number, since it uses less digits than its factorization.

8408400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 8408400000 is about 91697.3282053518. The cubic root of 8408400000 is about 2033.4700854605.

Adding to 8408400000 its reverse (48048), we get a palindrome (8408448048).

It can be divided in two parts, 840 and 8400000, that multiplied together give a square (7056000000 = 84000²).

The spelling of 8408400000 in words is "eight billion, four hundred eight million, four hundred thousand".