29318027042304 has 1440 divisors, whose sum is σ = 115899801937920. Its totient is φ = 7013280153600.

The previous prime is 29318027042303. The next prime is 29318027042371. The reversal of 29318027042304 is 40324072081392.

29318027042304 is a `hidden beast` number, since 2 + 9 + 31 + 8 + 0 + 270 + 42 + 304 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 29318027042304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29318027042303) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20373888817 + ... + 20373890255.

It is an arithmetic number, because the mean of its divisors is an integer number (80485973568).

Almost surely, 2^{29318027042304} is an apocalyptic number.

29318027042304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29318027042304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57949900968960).

29318027042304 is an abundant number, since it is smaller than the sum of its proper divisors (86581774895616).

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

29318027042304 is a wasteful number, since it uses less digits than its factorization.

29318027042304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2132 (or 2106 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 29318027042304 in words is "twenty-nine trillion, three hundred eighteen billion, twenty-seven million, forty-two thousand, three hundred four".