288022045409280 has 4320 divisors, whose sum is σ = 1313665448030208. Its totient is φ = 57789539942400.

The previous prime is 288022045409269. The next prime is 288022045409281. The reversal of 288022045409280 is 82904540220882.

288022045409280 is a `hidden beast` number, since 2 + 8 + 8 + 0 + 2 + 2 + 0 + 4 + 540 + 92 + 8 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (288022045409281) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1062811975545 + ... + 1062811975815.

Almost surely, 2^{288022045409280} is an apocalyptic number.

288022045409280 is a gapful number since it is divisible by the number (20) 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 288022045409280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656832724015104).

288022045409280 is an abundant number, since it is smaller than the sum of its proper divisors (1025643402620928).

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

288022045409280 is a wasteful number, since it uses less digits than its factorization.

288022045409280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 288022045409280 in words is "two hundred eighty-eight trillion, twenty-two billion, forty-five million, four hundred nine thousand, two hundred eighty".