414079380100 has 81 divisors (see below), whose sum is σ = 905716347501. Its totient is φ = 164321606400.

The previous prime is 414079380073. The next prime is 414079380101. The reversal of 414079380100 is 1083970414.

The square root of 414079380100 is 643490.

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

It can be written as a sum of positive squares in 13 ways, for example, as 21040662916 + 393038717184 = 145054^2 + 626928^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 414079380100.

It is not an unprimeable number, because it can be changed into a prime (414079380101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1473591960 + ... + 1473592240.

Almost surely, 2^414079380100 is an apocalyptic number.

414079380100 is the 643490-th square number.

It is an amenable number.

414079380100 is an abundant number, since it is smaller than the sum of its proper divisors (491636967401).

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

414079380100 is an equidigital number, since it uses as much as digits as its factorization.

414079380100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The spelling of 414079380100 in words is "four hundred fourteen billion, seventy-nine million, three hundred eighty thousand, one hundred".