7429107043116 has 192 divisors, whose sum is σ = 21256312896000. Its totient is φ = 2225047587840.

The previous prime is 7429107043103. The next prime is 7429107043121. The reversal of 7429107043116 is 6113407019247.

It is a happy number.

7429107043116 is a `hidden beast` number, since 7 + 429 + 1 + 0 + 70 + 43 + 116 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 288529755 + ... + 288555501.

It is an arithmetic number, because the mean of its divisors is an integer number (110709963000).

Almost surely, 2^{7429107043116} 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 7429107043116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10628156448000).

7429107043116 is an abundant number, since it is smaller than the sum of its proper divisors (13827205852884).

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

7429107043116 is a wasteful number, since it uses less digits than its factorization.

7429107043116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28589 (or 28581 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 7429107043116 in words is "seven trillion, four hundred twenty-nine billion, one hundred seven million, forty-three thousand, one hundred sixteen".