4329124438104 has 384 divisors, whose sum is σ = 13152304396800. Its totient is φ = 1318155171840.

The previous prime is 4329124438069. The next prime is 4329124438123. The reversal of 4329124438104 is 4018344219234.

4329124438104 is a `hidden beast` number, since 4 + 3 + 2 + 91 + 24 + 438 + 104 = 666.

It is a super-2 number, since 2×4329124438104² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4329124438104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1023189669 + ... + 1023193899.

It is an arithmetic number, because the mean of its divisors is an integer number (34250792700).

Almost surely, 2^{4329124438104} 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 4329124438104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6576152198400).

4329124438104 is an abundant number, since it is smaller than the sum of its proper divisors (8823179958696).

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

4329124438104 is a wasteful number, since it uses less digits than its factorization.

4329124438104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4760 (or 4733 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 4329124438104 in words is "four trillion, three hundred twenty-nine billion, one hundred twenty-four million, four hundred thirty-eight thousand, one hundred four".