4260074038272 has 1056 divisors, whose sum is σ = 14294774160000. Its totient is φ = 1251140567040.

The previous prime is 4260074038229. The next prime is 4260074038321. The reversal of 4260074038272 is 2728304700624.

4260074038272 is a `hidden beast` number, since 4 + 2 + 600 + 7 + 4 + 0 + 38 + 2 + 7 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20189924247 + ... + 20189924457.

Almost surely, 2^{4260074038272} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4260074038272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7147387080000).

4260074038272 is an abundant number, since it is smaller than the sum of its proper divisors (10034700121728).

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

4260074038272 is a wasteful number, since it uses less digits than its factorization.

4260074038272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

Adding to 4260074038272 its reverse (2728304700624), we get a palindrome (6988378738896).

The spelling of 4260074038272 in words is "four trillion, two hundred sixty billion, seventy-four million, thirty-eight thousand, two hundred seventy-two".