29414942910 has 256 divisors, whose sum is σ = 84105216000. Its totient is φ = 7294354560.

The previous prime is 29414942899. The next prime is 29414942911. The reversal of 29414942910 is 1924941492.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29414942911) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 94581655 + ... + 94581965.

It is an arithmetic number, because the mean of its divisors is an integer number (328536000).

Almost surely, 2^29414942910 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29414942910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42052608000).

29414942910 is an abundant number, since it is smaller than the sum of its proper divisors (54690273090).

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

29414942910 is a wasteful number, since it uses less digits than its factorization.

29414942910 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 29414942910 in words is "twenty-nine billion, four hundred fourteen million, nine hundred forty-two thousand, nine hundred ten".