4261639272 has 256 divisors, whose sum is σ = 12590899200. Its totient is φ = 1189140480.

The previous prime is 4261639267. The next prime is 4261639273. The reversal of 4261639272 is 2729361624.

4261639272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (217728) is a multiple of the sum of its prime factors (336).

It is not an unprimeable number, because it can be changed into a prime (4261639273) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31106788 + ... + 31106924.

It is an arithmetic number, because the mean of its divisors is an integer number (49183200).

Almost surely, 2^4261639272 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 4261639272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6295449600).

4261639272 is an abundant number, since it is smaller than the sum of its proper divisors (8329259928).

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

4261639272 is a wasteful number, since it uses less digits than its factorization.

4261639272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 332 counting only the distinct ones).

The product of its digits is 217728, while the sum is 42.

The square root of 4261639272 is about 65281.2321574892. The cubic root of 4261639272 is about 1621.2832478285.

The spelling of 4261639272 in words is "four billion, two hundred sixty-one million, six hundred thirty-nine thousand, two hundred seventy-two".