4280553504864 has 576 divisors, whose sum is σ = 16086772316160. Its totient is φ = 1047556177920.

The previous prime is 4280553504863. The next prime is 4280553504883. The reversal of 4280553504864 is 4684053550824.

4280553504864 is a `hidden beast` number, since 4 + 2 + 8 + 0 + 5 + 53 + 504 + 86 + 4 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 4280553504864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4280553504863) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31565397 + ... + 31700715.

It is an arithmetic number, because the mean of its divisors is an integer number (27928424160).

Almost surely, 2^{4280553504864} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4280553504864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8043386158080).

4280553504864 is an abundant number, since it is smaller than the sum of its proper divisors (11806218811296).

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

4280553504864 is a wasteful number, since it uses less digits than its factorization.

4280553504864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135443 (or 135432 counting only the distinct ones).

The product of its (nonzero) digits is 18432000, while the sum is 54.

The spelling of 4280553504864 in words is "four trillion, two hundred eighty billion, five hundred fifty-three million, five hundred four thousand, eight hundred sixty-four".