6942029931144 has 1536 divisors, whose sum is σ = 27510600499200. Its totient is φ = 1583004487680.

The previous prime is 6942029931113. The next prime is 6942029931149. The reversal of 6942029931144 is 4411399202496.

6942029931144 is a `hidden beast` number, since 69 + 420 + 2 + 99 + 31 + 1 + 44 = 666.

It is a super-2 number, since 2×6942029931144² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (6942029931149) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3239396937 + ... + 3239399079.

It is an arithmetic number, because the mean of its divisors is an integer number (17910547200).

Almost surely, 2^{6942029931144} 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 6942029931144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13755300249600).

6942029931144 is an abundant number, since it is smaller than the sum of its proper divisors (20568570568056).

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

6942029931144 is a wasteful number, since it uses less digits than its factorization.

6942029931144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2285 (or 2269 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 6942029931144 in words is "six trillion, nine hundred forty-two billion, twenty-nine million, nine hundred thirty-one thousand, one hundred forty-four".