4015298560 has 384 divisors, whose sum is σ = 12328243200. Its totient is φ = 1220935680.

The previous prime is 4015298549. The next prime is 4015298563. The reversal of 4015298560 is 658925104.

It is a super-2 number, since 2×4015298560² = 32245245051876147200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4015298563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28886971 + ... + 28887109.

It is an arithmetic number, because the mean of its divisors is an integer number (32104800).

Almost surely, 2^4015298560 is an apocalyptic number.

4015298560 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 4015298560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6164121600).

4015298560 is an abundant number, since it is smaller than the sum of its proper divisors (8312944640).

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

4015298560 is a wasteful number, since it uses less digits than its factorization.

4015298560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 40.

The square root of 4015298560 is about 63366.3835168143. The cubic root of 4015298560 is about 1589.4222232563.

The spelling of 4015298560 in words is "four billion, fifteen million, two hundred ninety-eight thousand, five hundred sixty".