4197126752 has 144 divisors (see below), whose sum is σ = 10897392240. Its totient is φ = 1572867072.

The previous prime is 4197126749. The next prime is 4197126767. The reversal of 4197126752 is 2576217914.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 381878 + ... + 392714.

It is an arithmetic number, because the mean of its divisors is an integer number (75676335).

Almost surely, 2^4197126752 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 4197126752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5448696120).

4197126752 is an abundant number, since it is smaller than the sum of its proper divisors (6700265488).

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

4197126752 is a wasteful number, since it uses less digits than its factorization.

4197126752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10893 (or 10878 counting only the distinct ones).

The product of its digits is 211680, while the sum is 44.

The square root of 4197126752 is about 64785.2356019487. The cubic root of 4197126752 is about 1613.0606429964.

The spelling of 4197126752 in words is "four billion, one hundred ninety-seven million, one hundred twenty-six thousand, seven hundred fifty-two".