4133509464 has 256 divisors, whose sum is σ = 12716928000. Its totient is φ = 1117670400.

The previous prime is 4133509463. The next prime is 4133509487. The reversal of 4133509464 is 4649053314.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4133509463) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12487779 + ... + 12488109.

It is an arithmetic number, because the mean of its divisors is an integer number (49675500).

Almost surely, 2^4133509464 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 4133509464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6358464000).

4133509464 is an abundant number, since it is smaller than the sum of its proper divisors (8583418536).

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

4133509464 is a wasteful number, since it uses less digits than its factorization.

4133509464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The square root of 4133509464 is about 64292.3748511439. The cubic root of 4133509464 is about 1604.8692114969.

The spelling of 4133509464 in words is "four billion, one hundred thirty-three million, five hundred nine thousand, four hundred sixty-four".