4643133040 has 240 divisors, whose sum is σ = 13567274496. Its totient is φ = 1446681600.

The previous prime is 4643133029. The next prime is 4643133067. The reversal of 4643133040 is 403313464.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6719095 + ... + 6719785.

Almost surely, 2^4643133040 is an apocalyptic number.

4643133040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4643133040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6783637248).

4643133040 is an abundant number, since it is smaller than the sum of its proper divisors (8924141456).

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

4643133040 is a wasteful number, since it uses less digits than its factorization.

4643133040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 789 counting only the distinct ones).

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

The square root of 4643133040 is about 68140.5388883886. The cubic root of 4643133040 is about 1668.2855030233.

The spelling of 4643133040 in words is "four billion, six hundred forty-three million, one hundred thirty-three thousand, forty".