4127133340 has 72 divisors (see below), whose sum is σ = 9940845600. Its totient is φ = 1435505280.

The previous prime is 4127133337. The next prime is 4127133343. The reversal of 4127133340 is 433317214.

It is an interprime number because it is at equal distance from previous prime (4127133337) and next prime (4127133343).

It is a super-2 number, since 2×4127133340² = 34066459212279111200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4127133299 and 4127133308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4127133343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18586 + ... + 92734.

It is an arithmetic number, because the mean of its divisors is an integer number (138067300).

Almost surely, 2^4127133340 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 4127133340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4970422800).

4127133340 is an abundant number, since it is smaller than the sum of its proper divisors (5813712260).

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

4127133340 is a wasteful number, since it uses less digits than its factorization.

4127133340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74203 (or 74190 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The square root of 4127133340 is about 64242.7687759486. The cubic root of 4127133340 is about 1604.0435925533.

The spelling of 4127133340 in words is "four billion, one hundred twenty-seven million, one hundred thirty-three thousand, three hundred forty".