8140407859600 has 45 divisors (see below), whose sum is σ = 19557466977027. Its totient is φ = 3256140318720.

The previous prime is 8140407859579. The next prime is 8140407859637. The reversal of 8140407859600 is 69587040418.

The square root of 8140407859600 is 2853140.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 4157733058704 + 3982674800896 = 2039052^2 + 1995664^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 56991472 + ... + 57134128.

Almost surely, 2^{8140407859600} is an apocalyptic number.

8140407859600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8140407859600 is the 2853140-th square number.

It is an amenable number.

8140407859600 is an abundant number, since it is smaller than the sum of its proper divisors (11417059117427).

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

8140407859600 is an frugal number, since it uses more digits than its factorization.

8140407859600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285332 (or 142664 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 52.

The spelling of 8140407859600 in words is "eight trillion, one hundred forty billion, four hundred seven million, eight hundred fifty-nine thousand, six hundred".