20129934400 has 63 divisors (see below), whose sum is σ = 49546188309. Its totient is φ = 8049703680.

The previous prime is 20129934361. The next prime is 20129934431. The reversal of 20129934400 is 443992102.

The square root of 20129934400 is 141880.

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., 7246776384 + 12883158016 = 85128^2 + 113504^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5673427 + ... + 5676973.

Almost surely, 2^20129934400 is an apocalyptic number.

20129934400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20129934400 is the 141880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20129934400

20129934400 is an abundant number, since it is smaller than the sum of its proper divisors (29416253909).

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

20129934400 is an frugal number, since it uses more digits than its factorization.

20129934400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7116 (or 3554 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

It can be divided in two parts, 20129 and 934400, that added together give a square (954529 = 977²).

The spelling of 20129934400 in words is "twenty billion, one hundred twenty-nine million, nine hundred thirty-four thousand, four hundred".