4522573440 has 960 divisors, whose sum is σ = 20485745280. Its totient is φ = 930631680.

The previous prime is 4522573423. The next prime is 4522573457. The reversal of 4522573440 is 443752254.

4522573440 is a `hidden beast` number, since 45 + 2 + 2 + 573 + 4 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (4522573423) and next prime (4522573457).

It is a tau number, because it is divible by the number of its divisors (960).

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 = 4522573395 and 4522573404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 43908429 + ... + 43908531.

It is an arithmetic number, because the mean of its divisors is an integer number (21339318).

Almost surely, 2^4522573440 is an apocalyptic number.

4522573440 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 4522573440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10242872640).

4522573440 is an abundant number, since it is smaller than the sum of its proper divisors (15963171840).

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

4522573440 is a wasteful number, since it uses less digits than its factorization.

4522573440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 36.

The square root of 4522573440 is about 67250.0813382408. The cubic root of 4522573440 is about 1653.7196085550.

The spelling of 4522573440 in words is "four billion, five hundred twenty-two million, five hundred seventy-three thousand, four hundred forty".