45307122240 has 448 divisors, whose sum is σ = 156559910400. Its totient is φ = 11066474496.

The previous prime is 45307122233. The next prime is 45307122241. The reversal of 45307122240 is 4222170354.

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

It is a junction number, because it is equal to n+sod(n) for n = 45307122198 and 45307122207.

It is not an unprimeable number, because it can be changed into a prime (45307122241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 110775156 + ... + 110775564.

Almost surely, 2^45307122240 is an apocalyptic number.

45307122240 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 45307122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78279955200).

45307122240 is an abundant number, since it is smaller than the sum of its proper divisors (111252788160).

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

45307122240 is a wasteful number, since it uses less digits than its factorization.

45307122240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

Adding to 45307122240 its reverse (4222170354), we get a palindrome (49529292594).

The spelling of 45307122240 in words is "forty-five billion, three hundred seven million, one hundred twenty-two thousand, two hundred forty".