4146334272 has 168 divisors, whose sum is σ = 13050719136. Its totient is φ = 1300727808.

The previous prime is 4146334271. The next prime is 4146334279. The reversal of 4146334272 is 2724336414.

4146334272 is a `hidden beast` number, since 4 + 14 + 633 + 4 + 2 + 7 + 2 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4146334271) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 256543 + ... + 272225.

It is an arithmetic number, because the mean of its divisors is an integer number (77682852).

Almost surely, 2^4146334272 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 4146334272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6525359568).

4146334272 is an abundant number, since it is smaller than the sum of its proper divisors (8904384864).

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

4146334272 is a wasteful number, since it uses less digits than its factorization.

4146334272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15727 (or 15705 counting only the distinct ones).

The product of its digits is 96768, while the sum is 36.

The square root of 4146334272 is about 64392.0357808324. The cubic root of 4146334272 is about 1606.5272771146.

The spelling of 4146334272 in words is "four billion, one hundred forty-six million, three hundred thirty-four thousand, two hundred seventy-two".