4152267360 has 336 divisors, whose sum is σ = 14899985856. Its totient is φ = 1092870144.

The previous prime is 4152267331. The next prime is 4152267389. The reversal of 4152267360 is 637622514.

4152267360 is a `hidden beast` number, since 4 + 1 + 522 + 6 + 73 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (4152267331) and next prime (4152267389).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 11313897 + ... + 11314263.

It is an arithmetic number, because the mean of its divisors is an integer number (44345196).

Almost surely, 2^4152267360 is an apocalyptic number.

4152267360 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 4152267360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7449992928).

4152267360 is an abundant number, since it is smaller than the sum of its proper divisors (10747718496).

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

4152267360 is an equidigital number, since it uses as much as digits as its factorization.

4152267360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 4152267360 is about 64438.0893571496. The cubic root of 4152267360 is about 1607.2931845669.

Adding to 4152267360 its reverse (637622514), we get a palindrome (4789889874).

The spelling of 4152267360 in words is "four billion, one hundred fifty-two million, two hundred sixty-seven thousand, three hundred sixty".