8402240000 has 600 divisors, whose sum is σ = 27203092224. Its totient is φ = 2534400000.

The previous prime is 8402239939. The next prime is 8402240071. The reversal of 8402240000 is 422048.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 271039985 + ... + 271040015.

Almost surely, 2^8402240000 is an apocalyptic number.

8402240000 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 8402240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13601546112).

8402240000 is an abundant number, since it is smaller than the sum of its proper divisors (18800852224).

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

8402240000 is an equidigital number, since it uses as much as digits as its factorization.

8402240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 8402240000 is about 91663.7332863985. The cubic root of 8402240000 is about 2032.9733902562.

Adding to 8402240000 its reverse (422048), we get a palindrome (8402662048).

The spelling of 8402240000 in words is "eight billion, four hundred two million, two hundred forty thousand".