45005340042 has 80 divisors (see below), whose sum is σ = 109823341320. Its totient is φ = 13692146688.

The previous prime is 45005340019. The next prime is 45005340113. The reversal of 45005340042 is 24004350054.

It can be written as a sum of positive squares in 4 ways, for example, as 29577464361 + 15427875681 = 171981^2 + 124209^2 .

It is a super-3 number, since 3×45005340042³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 45005339988 and 45005340015.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 67378 + ... + 307490.

Almost surely, 2^45005340042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45005340042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54911670660).

45005340042 is an abundant number, since it is smaller than the sum of its proper divisors (64818001278).

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

45005340042 is a wasteful number, since it uses less digits than its factorization.

45005340042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240229 (or 240220 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

Adding to 45005340042 its reverse (24004350054), we get a palindrome (69009690096).

The spelling of 45005340042 in words is "forty-five billion, five million, three hundred forty thousand, forty-two".