45305420342140 has 96 divisors (see below), whose sum is σ = 109089856512000. Its totient is φ = 15482315377920.

The previous prime is 45305420342113. The next prime is 45305420342159. The reversal of 45305420342140 is 4124302450354.

It is a super-2 number, since 2×45305420342140² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 45305420342140.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 973052181 + ... + 973098739.

It is an arithmetic number, because the mean of its divisors is an integer number (1136352672000).

Almost surely, 2^{45305420342140} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45305420342140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54544928256000).

45305420342140 is an abundant number, since it is smaller than the sum of its proper divisors (63784436169860).

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

45305420342140 is a wasteful number, since it uses less digits than its factorization.

45305420342140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69235 (or 69233 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 37.

Adding to 45305420342140 its reverse (4124302450354), we get a palindrome (49429722792494).

The spelling of 45305420342140 in words is "forty-five trillion, three hundred five billion, four hundred twenty million, three hundred forty-two thousand, one hundred forty".