4234780874324 has 324 divisors, whose sum is σ = 10429544708604. Its totient is φ = 1497944448000.

The previous prime is 4234780874323. The next prime is 4234780874341.

4234780874324 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 6 ways, for example, as 2212156478224 + 2022624396100 = 1487332^2 + 1422190^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4234780874324.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4234780874323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 244479584 + ... + 244496904.

Almost surely, 2^{4234780874324} is an apocalyptic number.

4234780874324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4234780874324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5214772354302).

4234780874324 is an abundant number, since it is smaller than the sum of its proper divisors (6194763834280).

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

4234780874324 is a wasteful number, since it uses less digits than its factorization.

4234780874324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17448 (or 17415 counting only the distinct ones).

The product of its (nonzero) digits is 28901376, while the sum is 56.

The spelling of 4234780874324 in words is "four trillion, two hundred thirty-four billion, seven hundred eighty million, eight hundred seventy-four thousand, three hundred twenty-four".