414402021030 has 64 divisors (see below), whose sum is σ = 1027667404800. Its totient is φ = 106836226560.

The previous prime is 414402020983. The next prime is 414402021043. The reversal of 414402021030 is 30120204414.

It is a junction number, because it is equal to n+sod(n) for n = 414402020988 and 414402021006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 717561 + ... + 1159179.

It is an arithmetic number, because the mean of its divisors is an integer number (16057303200).

Almost surely, 2^414402021030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414402021030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513833702400).

414402021030 is an abundant number, since it is smaller than the sum of its proper divisors (613265383770).

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

414402021030 is a wasteful number, since it uses less digits than its factorization.

414402021030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442669.

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 414402021030 its reverse (30120204414), we get a palindrome (444522225444).

The spelling of 414402021030 in words is "four hundred fourteen billion, four hundred two million, twenty-one thousand, thirty".