45400220440 has 128 divisors (see below), whose sum is σ = 108190494720. Its totient is φ = 17119065600.

The previous prime is 45400220429. The next prime is 45400220441. The reversal of 45400220440 is 4402200454.

It is a happy number.

It is a super-2 number, since 2×45400220440² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45400220441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24579597 + ... + 24581443.

It is an arithmetic number, because the mean of its divisors is an integer number (845238240).

Almost surely, 2^45400220440 is an apocalyptic number.

45400220440 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 45400220440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54095247360).

45400220440 is an abundant number, since it is smaller than the sum of its proper divisors (62790274280).

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

45400220440 is a wasteful number, since it uses less digits than its factorization.

45400220440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2393 (or 2389 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 25.

Adding to 45400220440 its reverse (4402200454), we get a palindrome (49802420894).

The spelling of 45400220440 in words is "forty-five billion, four hundred million, two hundred twenty thousand, four hundred forty".