7942034997120 has 768 divisors, whose sum is σ = 31099627399680. Its totient is φ = 1715436011520.

The previous prime is 7942034997089. The next prime is 7942034997121. The reversal of 7942034997120 is 217994302497.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7942034997121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 179576610 + ... + 179620830.

It is an arithmetic number, because the mean of its divisors is an integer number (40494306510).

Almost surely, 2^{7942034997120} is an apocalyptic number.

7942034997120 is a gapful number since it is divisible by the number (70) 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 7942034997120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15549813699840).

7942034997120 is an abundant number, since it is smaller than the sum of its proper divisors (23157592402560).

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

7942034997120 is a wasteful number, since it uses less digits than its factorization.

7942034997120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44363 (or 44344 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 57.

The spelling of 7942034997120 in words is "seven trillion, nine hundred forty-two billion, thirty-four million, nine hundred ninety-seven thousand, one hundred twenty".