29407628214 has 72 divisors (see below), whose sum is σ = 67314836160. Its totient is φ = 9277190496.

The previous prime is 29407628207. The next prime is 29407628219. The reversal of 29407628214 is 41282670492.

29407628214 is a `hidden beast` number, since 2 + 9 + 4 + 0 + 7 + 628 + 2 + 14 = 666.

29407628214 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 29407628214.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29407628219) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9284059 + ... + 9287225.

It is an arithmetic number, because the mean of its divisors is an integer number (934928280).

Almost surely, 2^29407628214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29407628214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33657418080).

29407628214 is an abundant number, since it is smaller than the sum of its proper divisors (37907207946).

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

29407628214 is a wasteful number, since it uses less digits than its factorization.

29407628214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4642 (or 4620 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 29407628214 in words is "twenty-nine billion, four hundred seven million, six hundred twenty-eight thousand, two hundred fourteen".