4134956472 has 128 divisors (see below), whose sum is σ = 12296160000. Its totient is φ = 1283568768.

The previous prime is 4134956467. The next prime is 4134956479. The reversal of 4134956472 is 2746594314.

4134956472 is a `hidden beast` number, since 4 + 13 + 4 + 9 + 564 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4134956479) 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, 233598 + ... + 250674.

It is an arithmetic number, because the mean of its divisors is an integer number (96063750).

Almost surely, 2^4134956472 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 4134956472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6148080000).

4134956472 is an abundant number, since it is smaller than the sum of its proper divisors (8161203528).

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

4134956472 is a wasteful number, since it uses less digits than its factorization.

4134956472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17170 (or 17160 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 4134956472 is about 64303.6272071802. The cubic root of 4134956472 is about 1605.0564605870.

The spelling of 4134956472 in words is "four billion, one hundred thirty-four million, nine hundred fifty-six thousand, four hundred seventy-two".