4509875312640 has 576 divisors, whose sum is σ = 16473583526400. Its totient is φ = 1137917362176.

The previous prime is 4509875312633. The next prime is 4509875312687. The reversal of 4509875312640 is 462135789054.

It is a happy number.

4509875312640 is a `hidden beast` number, since 4 + 5 + 0 + 9 + 87 + 531 + 26 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2771895507 + ... + 2771897133.

It is an arithmetic number, because the mean of its divisors is an integer number (28599971400).

It is a 1-persistent number, because it is pandigital, but 2⋅4509875312640 = 9019750625280 is not.

Almost surely, 2^{4509875312640} is an apocalyptic number.

4509875312640 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 4509875312640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8236791763200).

4509875312640 is an abundant number, since it is smaller than the sum of its proper divisors (11963708213760).

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

4509875312640 is a wasteful number, since it uses less digits than its factorization.

4509875312640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3262 (or 3239 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 4509875312640 in words is "four trillion, five hundred nine billion, eight hundred seventy-five million, three hundred twelve thousand, six hundred forty".