29140214400 has 384 divisors, whose sum is σ = 116343892800. Its totient is φ = 7064064000.

The previous prime is 29140214399. The next prime is 29140214429. The reversal of 29140214400 is 441204192.

It is a happy number.

29140214400 is a `hidden beast` number, since 2 + 9 + 1 + 40 + 214 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 935070 + ... + 965730.

Almost surely, 2^29140214400 is an apocalyptic number.

29140214400 is a gapful number since it is divisible by the number (20) 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 29140214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58171946400).

29140214400 is an abundant number, since it is smaller than the sum of its proper divisors (87203678400).

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

29140214400 is a wasteful number, since it uses less digits than its factorization.

29140214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30705 (or 30682 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 29140214400 its reverse (441204192), we get a palindrome (29581418592).

The spelling of 29140214400 in words is "twenty-nine billion, one hundred forty million, two hundred fourteen thousand, four hundred".