4114275264 has 168 divisors, whose sum is σ = 13622017968. Its totient is φ = 1173381120.

The previous prime is 4114275251. The next prime is 4114275283. The reversal of 4114275264 is 4625724114.

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 23 ways as a sum of consecutive naturals, for example, 88614 + ... + 126810.

Almost surely, 2^4114275264 is an apocalyptic number.

4114275264 is a gapful number since it is divisible by the number (44) 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 4114275264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6811008984).

4114275264 is an abundant number, since it is smaller than the sum of its proper divisors (9507742704).

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

4114275264 is a wasteful number, since it uses less digits than its factorization.

4114275264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38243 (or 38230 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 4114275264 is about 64142.6165977036. The cubic root of 4114275264 is about 1602.3760613777.

Adding to 4114275264 its reverse (4625724114), we get a palindrome (8739999378).

It can be divided in two parts, 4114 and 275264, that added together give a triangular number (279378 = T₇₄₇).

The spelling of 4114275264 in words is "four billion, one hundred fourteen million, two hundred seventy-five thousand, two hundred sixty-four".