4140396800 has 54 divisors (see below), whose sum is σ = 10248144858. Its totient is φ = 1656156160.

The previous prime is 4140396763. The next prime is 4140396811. The reversal of 4140396800 is 86930414.

It can be written as a sum of positive squares in 3 ways, for example, as 79138816 + 4061257984 = 8896^2 + 63728^2 .

It is a super-2 number, since 2×4140396800² = 34285771322900480000, which contains 22 as substring.

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, 317069 + ... + 329868.

Almost surely, 2^4140396800 is an apocalyptic number.

4140396800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4140396800 is an abundant number, since it is smaller than the sum of its proper divisors (6107748058).

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

4140396800 is an equidigital number, since it uses as much as digits as its factorization.

4140396800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646963 (or 646944 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 4140396800 is about 64345.9151772667. The cubic root of 4140396800 is about 1605.7600719313.

The spelling of 4140396800 in words is "four billion, one hundred forty million, three hundred ninety-six thousand, eight hundred".