4015013760 has 384 divisors, whose sum is σ = 14839212960. Its totient is φ = 996802560.

The previous prime is 4015013731. The next prime is 4015013771. The reversal of 4015013760 is 673105104.

4015013760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×4015013760² = 32240670985978675200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12827364 + ... + 12827676.

Almost surely, 2^4015013760 is an apocalyptic number.

4015013760 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 4015013760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7419606480).

4015013760 is an abundant number, since it is smaller than the sum of its proper divisors (10824199200).

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

4015013760 is a wasteful number, since it uses less digits than its factorization.

4015013760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 4015013760 is about 63364.1362286270. The cubic root of 4015013760 is about 1589.3846438049.

Adding to 4015013760 its reverse (673105104), we get a palindrome (4688118864).

The spelling of 4015013760 in words is "four billion, fifteen million, thirteen thousand, seven hundred sixty".