7442000000000 has 330 divisors, whose sum is σ = 18905762224206. Its totient is φ = 2928000000000.

The previous prime is 7441999999991. The next prime is 7442000000009. The reversal of 7442000000000 is 2447.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (7441999999991) and next prime (7442000000009).

It can be written as a sum of positive squares in 15 ways, for example, as 4199810830336 + 3242189169664 = 2049344^2 + 1800608^2 .

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7442000000009) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 121999999970 + ... + 122000000030.

Almost surely, 2^{7442000000000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7442000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9452881112103).

7442000000000 is an abundant number, since it is smaller than the sum of its proper divisors (11463762224206).

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

7442000000000 is an frugal number, since it uses more digits than its factorization.

7442000000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 17.

Adding to 7442000000000 its reverse (2447), we get a palindrome (7442000002447).

The spelling of 7442000000000 in words is "seven trillion, four hundred forty-two billion", and thus it is an aban number.