1242113431440 has 320 divisors, whose sum is σ = 4519006765056. Its totient is φ = 276358957056.

The previous prime is 1242113431381. The next prime is 1242113431457. The reversal of 1242113431440 is 441343112421.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1242113431398 and 1242113431407.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11253159 + ... + 11363001.

Almost surely, 2^{1242113431440} is an apocalyptic number.

1242113431440 is a gapful number since it is divisible by the number (10) 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 1242113431440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2259503382528).

1242113431440 is an abundant number, since it is smaller than the sum of its proper divisors (3276893333616).

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

1242113431440 is a wasteful number, since it uses less digits than its factorization.

1242113431440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110046 (or 110040 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 1242113431440 its reverse (441343112421), we get a palindrome (1683456543861).

The spelling of 1242113431440 in words is "one trillion, two hundred forty-two billion, one hundred thirteen million, four hundred thirty-one thousand, four hundred forty".