4289972799824 has 80 divisors (see below), whose sum is σ = 8775732067200. Its totient is φ = 2025959311872.

The previous prime is 4289972799823. The next prime is 4289972799851.

4289972799824 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4289972799823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142051094 + ... + 142081290.

It is an arithmetic number, because the mean of its divisors is an integer number (109696650840).

Almost surely, 2^{4289972799824} 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 4289972799824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4387866033600).

4289972799824 is an abundant number, since it is smaller than the sum of its proper divisors (4485759267376).

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

4289972799824 is a wasteful number, since it uses less digits than its factorization.

4289972799824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31620 (or 31614 counting only the distinct ones).

The product of its digits is 2633637888, while the sum is 80.

The spelling of 4289972799824 in words is "four trillion, two hundred eighty-nine billion, nine hundred seventy-two million, seven hundred ninety-nine thousand, eight hundred twenty-four".