288730144340 has 144 divisors (see below), whose sum is σ = 681876316800. Its totient is φ = 102586725120.

The previous prime is 288730144333. The next prime is 288730144387. The reversal of 288730144340 is 43441037882.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 288730144291 and 288730144300.

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, 23838206 + ... + 23850314.

It is an arithmetic number, because the mean of its divisors is an integer number (4735252200).

Almost surely, 2^288730144340 is an apocalyptic number.

288730144340 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 288730144340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340938158400).

288730144340 is an abundant number, since it is smaller than the sum of its proper divisors (393146172460).

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

288730144340 is a wasteful number, since it uses less digits than its factorization.

288730144340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12366 (or 12353 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 44.

The spelling of 288730144340 in words is "two hundred eighty-eight billion, seven hundred thirty million, one hundred forty-four thousand, three hundred forty".