29063430400 has 81 divisors (see below), whose sum is σ = 71970304413. Its totient is φ = 11619916800.

The previous prime is 29063430397. The next prime is 29063430421. The reversal of 29063430400 is 403436092.

The square root of 29063430400 is 170480.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 10462834944 + 18600595456 = 102288^2 + 136384^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13637335 + ... + 13639465.

Almost surely, 2^29063430400 is an apocalyptic number.

29063430400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

29063430400 is the 170480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29063430400

29063430400 is an abundant number, since it is smaller than the sum of its proper divisors (42906874013).

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

29063430400 is an frugal number, since it uses more digits than its factorization.

29063430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4288 (or 2138 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 31.

Adding to 29063430400 its reverse (403436092), we get a palindrome (29466866492).

The spelling of 29063430400 in words is "twenty-nine billion, sixty-three million, four hundred thirty thousand, four hundred".