414102031020 has 96 divisors (see below), whose sum is σ = 1332742219200. Its totient is φ = 106619369472.

The previous prime is 414102030977. The next prime is 414102031027. The reversal of 414102031020 is 20130201414.

414102031020 is a `hidden beast` number, since 41 + 410 + 203 + 10 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 414102030984 and 414102031002.

It is not an unprimeable number, because it can be changed into a prime (414102031027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13205989 + ... + 13237308.

It is an arithmetic number, because the mean of its divisors is an integer number (13882731450).

Almost surely, 2^414102031020 is an apocalyptic number.

It is an amenable number.

414102031020 is an abundant number, since it is smaller than the sum of its proper divisors (918640188180).

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

414102031020 is a wasteful number, since it uses less digits than its factorization.

414102031020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26443344 (or 26443336 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 414102031020 its reverse (20130201414), we get a palindrome (434232232434).

The spelling of 414102031020 in words is "four hundred fourteen billion, one hundred two million, thirty-one thousand, twenty".