8240198400 has 648 divisors, whose sum is σ = 34161813504. Its totient is φ = 1856102400.

The previous prime is 8240198389. The next prime is 8240198413. The reversal of 8240198400 is 48910428.

8240198400 is a `hidden beast` number, since 8 + 240 + 1 + 9 + 8 + 400 = 666.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 43142305 + ... + 43142495.

It is an arithmetic number, because the mean of its divisors is an integer number (52718848).

Almost surely, 2^8240198400 is an apocalyptic number.

8240198400 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 8240198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17080906752).

8240198400 is an abundant number, since it is smaller than the sum of its proper divisors (25921615104).

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

8240198400 is a wasteful number, since it uses less digits than its factorization.

8240198400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 8240198400 is about 90775.5385552738. The cubic root of 8240198400 is about 2019.8194786886.

The spelling of 8240198400 in words is "eight billion, two hundred forty million, one hundred ninety-eight thousand, four hundred".