1288242144 has 420 divisors, whose sum is σ = 4628977416. Its totient is φ = 352066176.

The previous prime is 1288242127. The next prime is 1288242211. The reversal of 1288242144 is 4412428821.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1288242099 and 1288242108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 56010517 + ... + 56010539.

Almost surely, 2^1288242144 is an apocalyptic number.

1288242144 is a gapful number since it is divisible by the number (14) 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 1288242144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2314488708).

1288242144 is an abundant number, since it is smaller than the sum of its proper divisors (3340735272).

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

1288242144 is an frugal number, since it uses more digits than its factorization.

1288242144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 35 counting only the distinct ones).

The product of its digits is 32768, while the sum is 36.

The square root of 1288242144 is about 35892.0902706989. The cubic root of 1288242144 is about 1088.0925436708.

The spelling of 1288242144 in words is "one billion, two hundred eighty-eight million, two hundred forty-two thousand, one hundred forty-four".