4014575360 has 144 divisors (see below), whose sum is σ = 10172252160. Its totient is φ = 1513820160.

The previous prime is 4014575353. The next prime is 4014575387. The reversal of 4014575360 is 635754104.

It is a super-2 number, since 2×4014575360² = 32233630642238259200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4014575360.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9314345 + ... + 9314775.

It is an arithmetic number, because the mean of its divisors is an integer number (70640640).

Almost surely, 2^4014575360 is an apocalyptic number.

4014575360 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 4014575360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5086126080).

4014575360 is an abundant number, since it is smaller than the sum of its proper divisors (6157676800).

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

4014575360 is a wasteful number, since it uses less digits than its factorization.

4014575360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 35.

The square root of 4014575360 is about 63360.6767640624. The cubic root of 4014575360 is about 1589.3267933107.

The spelling of 4014575360 in words is "four billion, fourteen million, five hundred seventy-five thousand, three hundred sixty".