1242840144 has 320 divisors, whose sum is σ = 4199731200. Its totient is φ = 307777536.

The previous prime is 1242840119. The next prime is 1242840149. The reversal of 1242840144 is 4410482421.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1242840149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8941227 + ... + 8941365.

It is an arithmetic number, because the mean of its divisors is an integer number (13124160).

Almost surely, 2^1242840144 is an apocalyptic number.

1242840144 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 1242840144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2099865600).

1242840144 is an abundant number, since it is smaller than the sum of its proper divisors (2956891056).

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

1242840144 is a wasteful number, since it uses less digits than its factorization.

1242840144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

The square root of 1242840144 is about 35253.9379927973. The cubic root of 1242840144 is about 1075.1566799573.

The spelling of 1242840144 in words is "one billion, two hundred forty-two million, eight hundred forty thousand, one hundred forty-four".