4264612416 has 105 divisors (see below), whose sum is σ = 12655600419. Its totient is φ = 1419970176.

The previous prime is 4264612411. The next prime is 4264612423. The reversal of 4264612416 is 6142164624.

The square root of 4264612416 is 65304.

It is a perfect power (a square), and thus also a powerful number.

4264612416 is a `hidden beast` number, since 4 + 2 + 646 + 1 + 2 + 4 + 1 + 6 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4264612411) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 4701435 + ... + 4702341.

Almost surely, 2^4264612416 is an apocalyptic number.

4264612416 is the 65304-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4264612416

4264612416 is an abundant number, since it is smaller than the sum of its proper divisors (8390988003).

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

4264612416 is an frugal number, since it uses more digits than its factorization.

With its predecessor (4264612415) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (912).

4264612416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1838 (or 912 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The cubic root of 4264612416 is about 1621.6601910437.

Multiplying 4264612416 by its sum of digits (36), we get a square (153526046976 = 391824²).

4264612416 divided by its sum of digits (36) gives a square (118461456 = 10884²).

The spelling of 4264612416 in words is "four billion, two hundred sixty-four million, six hundred twelve thousand, four hundred sixteen".