288942474660840 has 6912 divisors, whose sum is σ = 1459842093964800. Its totient is φ = 48779990138880.

The previous prime is 288942474660793. The next prime is 288942474660841. The reversal of 288942474660840 is 48066474249882.

288942474660840 is a `hidden beast` number, since 2 + 8 + 8 + 9 + 4 + 2 + 4 + 7 + 4 + 6 + 608 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (288942474660841) by changing a digit.

It is a polite number, since it can be written in 1727 ways as a sum of consecutive naturals, for example, 923138896524 + ... + 923138896836.

It is an arithmetic number, because the mean of its divisors is an integer number (211204006650).

Almost surely, 2^{288942474660840} is an apocalyptic number.

288942474660840 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 288942474660840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729921046982400).

288942474660840 is an abundant number, since it is smaller than the sum of its proper divisors (1170899619303960).

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

288942474660840 is a wasteful number, since it uses less digits than its factorization.

288942474660840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 1189085184, while the sum is 72.

The spelling of 288942474660840 in words is "two hundred eighty-eight trillion, nine hundred forty-two billion, four hundred seventy-four million, six hundred sixty thousand, eight hundred forty".