4509262638720 has 640 divisors, whose sum is σ = 18997596288000. Its totient is φ = 997438095360.

The previous prime is 4509262638719. The next prime is 4509262638731. The reversal of 4509262638720 is 278362629054.

4509262638720 is a `hidden beast` number, since 4 + 5 + 0 + 9 + 2 + 626 + 3 + 8 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11048856 + ... + 11449704.

It is an arithmetic number, because the mean of its divisors is an integer number (29683744200).

Almost surely, 2^{4509262638720} is an apocalyptic number.

4509262638720 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 4509262638720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9498798144000).

4509262638720 is an abundant number, since it is smaller than the sum of its proper divisors (14488333649280).

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

4509262638720 is a wasteful number, since it uses less digits than its factorization.

4509262638720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400918 (or 400897 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 4509262638720 in words is "four trillion, five hundred nine billion, two hundred sixty-two million, six hundred thirty-eight thousand, seven hundred twenty".