6940442629120 has 704 divisors, whose sum is σ = 22531933863936. Its totient is φ = 1980941598720.

The previous prime is 6940442629061. The next prime is 6940442629121. The reversal of 6940442629120 is 219262440496.

It is a tau number, because it is divible by the number of its divisors (704).

It is a super-2 number, since 2×6940442629120² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6940442629121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 650884909 + ... + 650895571.

Almost surely, 2^{6940442629120} 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 6940442629120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11265966931968).

6940442629120 is an abundant number, since it is smaller than the sum of its proper divisors (15591491234816).

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

6940442629120 is a wasteful number, since it uses less digits than its factorization.

6940442629120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10846 (or 10828 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 49.

The spelling of 6940442629120 in words is "six trillion, nine hundred forty billion, four hundred forty-two million, six hundred twenty-nine thousand, one hundred twenty".