414430130100 has 144 divisors (see below), whose sum is σ = 1373384125568. Its totient is φ = 94519388160.

The previous prime is 414430130057. The next prime is 414430130137. The reversal of 414430130100 is 1031034414.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 743784 + ... + 1175616.

Almost surely, 2^414430130100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414430130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686692062784).

414430130100 is an abundant number, since it is smaller than the sum of its proper divisors (958953995468).

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

414430130100 is a wasteful number, since it uses less digits than its factorization.

414430130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432314 (or 432307 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 414430130100 its reverse (1031034414), we get a palindrome (415461164514).

The spelling of 414430130100 in words is "four hundred fourteen billion, four hundred thirty million, one hundred thirty thousand, one hundred".