4140155760 has 160 divisors (see below), whose sum is σ = 13859112960. Its totient is φ = 1016361984.

The previous prime is 4140155759. The next prime is 4140155777. The reversal of 4140155760 is 675510414.

It is a super-2 number, since 2×4140155760² = 34281779434122355200, 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, 1305697 + ... + 1308863.

It is an arithmetic number, because the mean of its divisors is an integer number (86619456).

Almost surely, 2^4140155760 is an apocalyptic number.

4140155760 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 4140155760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6929556480).

4140155760 is an abundant number, since it is smaller than the sum of its proper divisors (9718957200).

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

4140155760 is a wasteful number, since it uses less digits than its factorization.

4140155760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3615 (or 3609 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 4140155760 is about 64344.0421484383. The cubic root of 4140155760 is about 1605.7289106733.

The spelling of 4140155760 in words is "four billion, one hundred forty million, one hundred fifty-five thousand, seven hundred sixty".