414332440100 has 18 divisors (see below), whose sum is σ = 899101395234. Its totient is φ = 165732976000.

The previous prime is 414332440079. The next prime is 414332440147. The reversal of 414332440100 is 1044233414.

It can be written as a sum of positive squares in 3 ways, for example, as 50453245924 + 363879194176 = 224618^2 + 603224^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 414332440100.

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, 2071662101 + ... + 2071662300.

It is an arithmetic number, because the mean of its divisors is an integer number (49950077513).

Almost surely, 2^414332440100 is an apocalyptic number.

It is an amenable number.

414332440100 is an abundant number, since it is smaller than the sum of its proper divisors (484768955134).

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

414332440100 is a wasteful number, since it uses less digits than its factorization.

414332440100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4143324415 (or 4143324408 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 414332440100 its reverse (1044233414), we get a palindrome (415376673514).

The spelling of 414332440100 in words is "four hundred fourteen billion, three hundred thirty-two million, four hundred forty thousand, one hundred".