4017145272 has 128 divisors (see below), whose sum is σ = 11921817600. Its totient is φ = 1104167808.

The previous prime is 4017145259. The next prime is 4017145277. The reversal of 4017145272 is 2725417104.

It is a super-2 number, since 2×4017145272² = 32274912272703907968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4017145277) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 461553 + ... + 470175.

It is an arithmetic number, because the mean of its divisors is an integer number (93139200).

Almost surely, 2^4017145272 is an apocalyptic number.

4017145272 is a gapful number since it is divisible by the number (42) 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 4017145272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5960908800).

4017145272 is an abundant number, since it is smaller than the sum of its proper divisors (7904672328).

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

4017145272 is a wasteful number, since it uses less digits than its factorization.

4017145272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8745 (or 8741 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 33.

The square root of 4017145272 is about 63380.9535428428. The cubic root of 4017145272 is about 1589.6658543901.

The spelling of 4017145272 in words is "four billion, seventeen million, one hundred forty-five thousand, two hundred seventy-two".