45420440520 has 256 divisors, whose sum is σ = 168991764480. Its totient is φ = 9509760000.

The previous prime is 45420440453. The next prime is 45420440521. The reversal of 45420440520 is 2504402454.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (45420440521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1414645 + ... + 1446395.

It is an arithmetic number, because the mean of its divisors is an integer number (660124080).

Almost surely, 2^45420440520 is an apocalyptic number.

45420440520 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 45420440520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84495882240).

45420440520 is an abundant number, since it is smaller than the sum of its proper divisors (123571323960).

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

45420440520 is a wasteful number, since it uses less digits than its factorization.

45420440520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31916 (or 31912 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 30.

Adding to 45420440520 its reverse (2504402454), we get a palindrome (47924842974).

The spelling of 45420440520 in words is "forty-five billion, four hundred twenty million, four hundred forty thousand, five hundred twenty".