4033130464 has 48 divisors (see below), whose sum is σ = 8667918000. Its totient is φ = 1832002560.

The previous prime is 4033130461. The next prime is 4033130471. The reversal of 4033130464 is 4640313304.

4033130464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4033130464² = 32532282679289710592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4033130461) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 698662 + ... + 704410.

It is an arithmetic number, because the mean of its divisors is an integer number (180581625).

Almost surely, 2^4033130464 is an apocalyptic number.

4033130464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4033130464 is an abundant number, since it is smaller than the sum of its proper divisors (4634787536).

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

4033130464 is a wasteful number, since it uses less digits than its factorization.

4033130464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7763 (or 7755 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

The square root of 4033130464 is about 63506.9324089898. The cubic root of 4033130464 is about 1591.7716186282.

Adding to 4033130464 its reverse (4640313304), we get a palindrome (8673443768).

The spelling of 4033130464 in words is "four billion, thirty-three million, one hundred thirty thousand, four hundred sixty-four".