29434218304 has 112 divisors (see below), whose sum is σ = 60606066240. Its totient is φ = 14176870400.

The previous prime is 29434218293. The next prime is 29434218313. The reversal of 29434218304 is 40381243492.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43095147 + ... + 43095829.

Almost surely, 2^29434218304 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 29434218304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30303033120).

29434218304 is an abundant number, since it is smaller than the sum of its proper divisors (31171847936).

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

29434218304 is a wasteful number, since it uses less digits than its factorization.

29434218304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 40.

The spelling of 29434218304 in words is "twenty-nine billion, four hundred thirty-four million, two hundred eighteen thousand, three hundred four".