45017758440 has 192 divisors, whose sum is σ = 148921718400. Its totient is φ = 11790835200.

The previous prime is 45017758411. The next prime is 45017758447. The reversal of 45017758440 is 4485771054.

45017758440 is a `hidden beast` number, since 4 + 50 + 17 + 7 + 584 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (45017758447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23957421 + ... + 23959299.

It is an arithmetic number, because the mean of its divisors is an integer number (775633950).

Almost surely, 2^45017758440 is an apocalyptic number.

45017758440 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 45017758440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74460859200).

45017758440 is an abundant number, since it is smaller than the sum of its proper divisors (103903959960).

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

45017758440 is a wasteful number, since it uses less digits than its factorization.

45017758440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3048 (or 3041 counting only the distinct ones).

The product of its (nonzero) digits is 627200, while the sum is 45.

The spelling of 45017758440 in words is "forty-five billion, seventeen million, seven hundred fifty-eight thousand, four hundred forty".