4133000464 has 30 divisors (see below), whose sum is σ = 8061782190. Its totient is φ = 2052633600.

The previous prime is 4133000461. The next prime is 4133000467. The reversal of 4133000464 is 4640003314.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4133000461) and next prime (4133000467).

It can be written as a sum of positive squares in only one way, i.e., 3292464400 + 840536064 = 57380^2 + 28992^2 .

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (4133000461) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 359152 + ... + 370480.

It is an arithmetic number, because the mean of its divisors is an integer number (268726073).

Almost surely, 2^4133000464 is an apocalyptic number.

It is an amenable number.

4133000464 is a deficient number, since it is larger than the sum of its proper divisors (3928781726).

4133000464 is a wasteful number, since it uses less digits than its factorization.

4133000464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11639 (or 11482 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 4133000464 is about 64288.4162505190. The cubic root of 4133000464 is about 1604.8033343072.

Adding to 4133000464 its reverse (4640003314), we get a palindrome (8773003778).

The spelling of 4133000464 in words is "four billion, one hundred thirty-three million, four hundred sixty-four", and thus it is an aban number.