1242335225440 has 96 divisors (see below), whose sum is σ = 2953502032320. Its totient is φ = 493810089984.

The previous prime is 1242335225423. The next prime is 1242335225473. The reversal of 1242335225440 is 445225332421.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1242335225440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28356832 + ... + 28400608.

It is an arithmetic number, because the mean of its divisors is an integer number (30765646170).

Almost surely, 2^{1242335225440} is an apocalyptic number.

1242335225440 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 1242335225440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1476751016160).

1242335225440 is an abundant number, since it is smaller than the sum of its proper divisors (1711166806880).

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

1242335225440 is a wasteful number, since it uses less digits than its factorization.

1242335225440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44904 (or 44896 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 37.

The spelling of 1242335225440 in words is "one trillion, two hundred forty-two billion, three hundred thirty-five million, two hundred twenty-five thousand, four hundred forty".