414332013100 has 18 divisors (see below), whose sum is σ = 899100468644. Its totient is φ = 165732805200.

The previous prime is 414332013089. The next prime is 414332013107. The reversal of 414332013100 is 1310233414.

It is a super-2 number, since 2×414332013100² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (414332013107) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2071659966 + ... + 2071660165.

Almost surely, 2^414332013100 is an apocalyptic number.

It is an amenable number.

414332013100 is an abundant number, since it is smaller than the sum of its proper divisors (484768455544).

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

414332013100 is a wasteful number, since it uses less digits than its factorization.

414332013100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4143320145 (or 4143320138 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 414332013100 its reverse (1310233414), we get a palindrome (415642246514).

The spelling of 414332013100 in words is "four hundred fourteen billion, three hundred thirty-two million, thirteen thousand, one hundred".