4506365440 has 120 divisors (see below), whose sum is σ = 11479557672. Its totient is φ = 1696235520.

The previous prime is 4506365429. The next prime is 4506365441. The reversal of 4506365440 is 445636054.

It is a self number, because there is not a number n which added to its sum of digits gives 4506365440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4506365441) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 736795 + ... + 742885.

Almost surely, 2^4506365440 is an apocalyptic number.

4506365440 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 4506365440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5739778836).

4506365440 is an abundant number, since it is smaller than the sum of its proper divisors (6973192232).

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

4506365440 is an equidigital number, since it uses as much as digits as its factorization.

4506365440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6148 (or 6115 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 37.

The square root of 4506365440 is about 67129.4677470334. The cubic root of 4506365440 is about 1651.7417102689.

The spelling of 4506365440 in words is "four billion, five hundred six million, three hundred sixty-five thousand, four hundred forty".