4040461808100 has 81 divisors (see below), whose sum is σ = 12664792085673. Its totient is φ = 1077440401440.

The previous prime is 4040461808087. The next prime is 4040461808129. The reversal of 4040461808100 is 18081640404.

The square root of 4040461808100 is 2010090.

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

4040461808100 is a `hidden beast` number, since 4 + 0 + 40 + 461 + 80 + 81 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1454566250916 + 2585895557184 = 1206054^2 + 1608072^2 .

It is a super-2 number, since 2×4040461808100² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 60269199 + ... + 60336201.

Almost surely, 2^{4040461808100} is an apocalyptic number.

4040461808100 is the 2010090-th square number.

It is an amenable number.

4040461808100 is an abundant number, since it is smaller than the sum of its proper divisors (8624330277573).

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

4040461808100 is an frugal number, since it uses more digits than its factorization.

4040461808100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134026 (or 67013 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

Multiplying 4040461808100 by its sum of digits (36), we get a square (145456625091600 = 12060540²).

4040461808100 divided by its sum of digits (36) gives a square (112235050225 = 335015²).

The spelling of 4040461808100 in words is "four trillion, forty billion, four hundred sixty-one million, eight hundred eight thousand, one hundred".