4234102014324 has 192 divisors, whose sum is σ = 12884735356416. Its totient is φ = 1050182516736.

The previous prime is 4234102014299. The next prime is 4234102014469.

4234102014324 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4234102014291 and 4234102014300.

It is a congruent number.

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, 23989582 + ... + 24165434.

It is an arithmetic number, because the mean of its divisors is an integer number (67107996648).

Almost surely, 2^{4234102014324} 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 4234102014324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6442367678208).

4234102014324 is an abundant number, since it is smaller than the sum of its proper divisors (8650633342092).

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

4234102014324 is a wasteful number, since it uses less digits than its factorization.

4234102014324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177194 (or 177192 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The spelling of 4234102014324 in words is "four trillion, two hundred thirty-four billion, one hundred two million, fourteen thousand, three hundred twenty-four".