214433415042 has 128 divisors (see below), whose sum is σ = 546554511360. Its totient is φ = 54463344960.

The previous prime is 214433415029. The next prime is 214433415127. The reversal of 214433415042 is 240514334412.

214433415042 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 214433414994 and 214433415012.

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, 28637023 + ... + 28644509.

It is an arithmetic number, because the mean of its divisors is an integer number (4269957120).

Almost surely, 2^214433415042 is an apocalyptic number.

214433415042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 214433415042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273277255680).

214433415042 is an abundant number, since it is smaller than the sum of its proper divisors (332121096318).

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

214433415042 is a wasteful number, since it uses less digits than its factorization.

214433415042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8876.

The product of its (nonzero) digits is 46080, while the sum is 33.

Adding to 214433415042 its reverse (240514334412), we get a palindrome (454947749454).

The spelling of 214433415042 in words is "two hundred fourteen billion, four hundred thirty-three million, four hundred fifteen thousand, forty-two".