45001300440 has 256 divisors, whose sum is σ = 149821747200. Its totient is φ = 10755497984.

The previous prime is 45001300397. The next prime is 45001300489. The reversal of 45001300440 is 4400310054.

45001300440 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 2×45001300440² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11211874 + ... + 11215886.

It is an arithmetic number, because the mean of its divisors is an integer number (585241200).

Almost surely, 2^45001300440 is an apocalyptic number.

45001300440 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 45001300440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74910873600).

45001300440 is an abundant number, since it is smaller than the sum of its proper divisors (104820446760).

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

45001300440 is a wasteful number, since it uses less digits than its factorization.

45001300440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4306 (or 4302 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

Adding to 45001300440 its reverse (4400310054), we get a palindrome (49401610494).

The spelling of 45001300440 in words is "forty-five billion, one million, three hundred thousand, four hundred forty".