214410420432 has 120 divisors (see below), whose sum is σ = 646910027400. Its totient is φ = 65900888064.

The previous prime is 214410420397. The next prime is 214410420463. The reversal of 214410420432 is 234024014412.

214410420432 is a `hidden beast` number, since 2 + 14 + 410 + 4 + 204 + 32 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21439987776 + 192970432656 = 146424^2 + 439284^2 .

It is a junction number, because it is equal to n+sod(n) for n = 214410420396 and 214410420405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1677444 + ... + 1800732.

It is an arithmetic number, because the mean of its divisors is an integer number (5390916895).

Almost surely, 2^214410420432 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 214410420432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323455013700).

214410420432 is an abundant number, since it is smaller than the sum of its proper divisors (432499606968).

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

214410420432 is a wasteful number, since it uses less digits than its factorization.

214410420432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124245 (or 124236 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 214410420432 its reverse (234024014412), we get a palindrome (448434434844).

The spelling of 214410420432 in words is "two hundred fourteen billion, four hundred ten million, four hundred twenty thousand, four hundred thirty-two".