432414666414234 has 128 divisors (see below), whose sum is σ = 1109182191183360. Its totient is φ = 122311347840000.

The previous prime is 432414666414139. The next prime is 432414666414329.

432414666414234 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (432414666414139) and next prime (432414666414329).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 377428402 + ... + 378572354.

It is an arithmetic number, because the mean of its divisors is an integer number (8665485868620).

Almost surely, 2^{432414666414234} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432414666414234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554591095591680).

432414666414234 is an abundant number, since it is smaller than the sum of its proper divisors (676767524769126).

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

432414666414234 is a wasteful number, since it uses less digits than its factorization.

432414666414234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153973 (or 1153967 counting only the distinct ones).

The product of its digits is 31850496, while the sum is 54.

The spelling of 432414666414234 in words is "four hundred thirty-two trillion, four hundred fourteen billion, six hundred sixty-six million, four hundred fourteen thousand, two hundred thirty-four".