4535040000 has 240 divisors, whose sum is σ = 15121065960. Its totient is φ = 1208320000.

The previous prime is 4535039959. The next prime is 4535040047. The reversal of 4535040000 is 405354.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3839410 + ... + 3840590.

Almost surely, 2^4535040000 is an apocalyptic number.

4535040000 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 4535040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7560532980).

4535040000 is an abundant number, since it is smaller than the sum of its proper divisors (10586025960).

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

4535040000 is an equidigital number, since it uses as much as digits as its factorization.

4535040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1226 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 4535040000 is about 67342.7056183519. The cubic root of 4535040000 is about 1655.2377177299.

Adding to 4535040000 its reverse (405354), we get a palindrome (4535445354).

The spelling of 4535040000 in words is "four billion, five hundred thirty-five million, forty thousand".