4134262464 has 112 divisors (see below), whose sum is σ = 12174870240. Its totient is φ = 1375718400.

The previous prime is 4134262463. The next prime is 4134262493. The reversal of 4134262464 is 4642624314.

4134262464 is a `hidden beast` number, since 4 + 134 + 2 + 62 + 464 = 666.

It is a super-2 number, since 2×4134262464² = 34184252242478702592, which contains 22 as substring.

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 (4134262463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1209622 + ... + 1213034.

Almost surely, 2^4134262464 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 4134262464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6087435120).

4134262464 is an abundant number, since it is smaller than the sum of its proper divisors (8040607776).

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

4134262464 is a wasteful number, since it uses less digits than its factorization.

4134262464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4135 (or 4119 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

The square root of 4134262464 is about 64298.2306443964. The cubic root of 4134262464 is about 1604.9666584042.

Adding to 4134262464 its reverse (4642624314), we get a palindrome (8776886778).

The spelling of 4134262464 in words is "four billion, one hundred thirty-four million, two hundred sixty-two thousand, four hundred sixty-four".