4533807040 has 224 divisors, whose sum is σ = 12874752000. Its totient is φ = 1488015360.

The previous prime is 4533807029. The next prime is 4533807067. The reversal of 4533807040 is 407083354.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 4533806987 and 4533807005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7568661 + ... + 7569259.

Almost surely, 2^4533807040 is an apocalyptic number.

4533807040 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 4533807040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6437376000).

4533807040 is an abundant number, since it is smaller than the sum of its proper divisors (8340944960).

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

4533807040 is a wasteful number, since it uses less digits than its factorization.

4533807040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The square root of 4533807040 is about 67333.5506267121. The cubic root of 4533807040 is about 1655.0876987022.

The spelling of 4533807040 in words is "four billion, five hundred thirty-three million, eight hundred seven thousand, forty".