45057483240 has 512 divisors, whose sum is σ = 172321136640. Its totient is φ = 9154252800.

The previous prime is 45057483217. The next prime is 45057483241. The reversal of 45057483240 is 4238475054.

45057483240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 45057483192 and 45057483201.

It is not an unprimeable number, because it can be changed into a prime (45057483241) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 113494722 + ... + 113495118.

It is an arithmetic number, because the mean of its divisors is an integer number (336564720).

Almost surely, 2^45057483240 is an apocalyptic number.

45057483240 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 45057483240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86160568320).

45057483240 is an abundant number, since it is smaller than the sum of its proper divisors (127263653400).

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

45057483240 is a wasteful number, since it uses less digits than its factorization.

45057483240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 42.

The spelling of 45057483240 in words is "forty-five billion, fifty-seven million, four hundred eighty-three thousand, two hundred forty".