432414141414234 has 64 divisors (see below), whose sum is σ = 989851004467200. Its totient is φ = 123362448349248.

The previous prime is 432414141414223. The next prime is 432414141414251.

432414141414234 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 363501787 + ... + 364689425.

It is an arithmetic number, because the mean of its divisors is an integer number (15466421944800).

Almost surely, 2^{432414141414234} is an apocalyptic number.

432414141414234 is an abundant number, since it is smaller than the sum of its proper divisors (557436863052966).

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

432414141414234 is a wasteful number, since it uses less digits than its factorization.

432414141414234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200587.

The product of its digits is 589824, while the sum is 42.

The spelling of 432414141414234 in words is "four hundred thirty-two trillion, four hundred fourteen billion, one hundred forty-one million, four hundred fourteen thousand, two hundred thirty-four".