4013827160 has 128 divisors (see below), whose sum is σ = 11152080000. Its totient is φ = 1295142912.

The previous prime is 4013827151. The next prime is 4013827189. The reversal of 4013827160 is 617283104.

It is a super-2 number, since 2×4013827160² = 32221616940707331200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 224636 + ... + 241844.

It is an arithmetic number, because the mean of its divisors is an integer number (87125625).

Almost surely, 2^4013827160 is an apocalyptic number.

4013827160 is a gapful number since it is divisible by the number (40) 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 4013827160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5576040000).

4013827160 is an abundant number, since it is smaller than the sum of its proper divisors (7138252840).

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

4013827160 is a wasteful number, since it uses less digits than its factorization.

4013827160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17258 (or 17240 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 4013827160 is about 63354.7721959443. The cubic root of 4013827160 is about 1589.2280524244.

The spelling of 4013827160 in words is "four billion, thirteen million, eight hundred twenty-seven thousand, one hundred sixty".