8240441600 has 54 divisors (see below), whose sum is σ = 20396396370. Its totient is φ = 3296174080.

The previous prime is 8240441581. The next prime is 8240441617. The reversal of 8240441600 is 61440428.

It can be written as a sum of positive squares in 3 ways, for example, as 16128256 + 8224313344 = 4016^2 + 90688^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 637385 + ... + 650184.

Almost surely, 2^8240441600 is an apocalyptic number.

8240441600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8240441600 is an abundant number, since it is smaller than the sum of its proper divisors (12155954770).

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

8240441600 is a wasteful number, since it uses less digits than its factorization.

8240441600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1287595 (or 1287576 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

The square root of 8240441600 is about 90776.8781133169. The cubic root of 8240441600 is about 2019.8393493778.

The spelling of 8240441600 in words is "eight billion, two hundred forty million, four hundred forty-one thousand, six hundred".