4015607960 has 256 divisors, whose sum is σ = 11642400000. Its totient is φ = 1212309504.

The previous prime is 4015607957. The next prime is 4015607963. The reversal of 4015607960 is 697065104.

4015607960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4015607957) and next prime (4015607963).

It is a super-2 number, since 2×4015607960² = 32250214576830723200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4015607963) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11505866 + ... + 11506214.

It is an arithmetic number, because the mean of its divisors is an integer number (45478125).

Almost surely, 2^4015607960 is an apocalyptic number.

4015607960 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 4015607960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5821200000).

4015607960 is an abundant number, since it is smaller than the sum of its proper divisors (7626792040).

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

4015607960 is a wasteful number, since it uses less digits than its factorization.

4015607960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 38.

The square root of 4015607960 is about 63368.8248273550. The cubic root of 4015607960 is about 1589.4630466719.

The spelling of 4015607960 in words is "four billion, fifteen million, six hundred seven thousand, nine hundred sixty".