288466696440 has 640 divisors, whose sum is σ = 1095955660800. Its totient is φ = 67520977920.

The previous prime is 288466696439. The next prime is 288466696487. The reversal of 288466696440 is 44696664882.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 185032381 + ... + 185033939.

It is an arithmetic number, because the mean of its divisors is an integer number (1712430720).

Almost surely, 2^288466696440 is an apocalyptic number.

288466696440 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 288466696440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547977830400).

288466696440 is an abundant number, since it is smaller than the sum of its proper divisors (807488964360).

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

288466696440 is a wasteful number, since it uses less digits than its factorization.

288466696440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1809 (or 1796 counting only the distinct ones).

The product of its (nonzero) digits is 95551488, while the sum is 63.

It can be divided in two parts, 288466 and 696440, that added together give a triangular number (984906 = T₁₄₀₃).

The spelling of 288466696440 in words is "two hundred eighty-eight billion, four hundred sixty-six million, six hundred ninety-six thousand, four hundred forty".