45860502240 has 960 divisors, whose sum is σ = 199520133120. Its totient is φ = 9689518080.

The previous prime is 45860502239. The next prime is 45860502253. The reversal of 45860502240 is 4220506854.

It is a happy number.

45860502240 is a `hidden beast` number, since 4 + 5 + 8 + 605 + 0 + 2 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 45860502195 and 45860502204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 64683006 + ... + 64683714.

It is an arithmetic number, because the mean of its divisors is an integer number (207833472).

Almost surely, 2^45860502240 is an apocalyptic number.

45860502240 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 45860502240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99760066560).

45860502240 is an abundant number, since it is smaller than the sum of its proper divisors (153659630880).

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

45860502240 is a wasteful number, since it uses less digits than its factorization.

45860502240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 45860502240 in words is "forty-five billion, eight hundred sixty million, five hundred two thousand, two hundred forty".