20141286400 has 99 divisors (see below), whose sum is σ = 49982350249. Its totient is φ = 8047431680.

The previous prime is 20141286349. The next prime is 20141286463. The reversal of 20141286400 is 468214102.

The square root of 20141286400 is 141920.

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., 7250863104 + 12890423296 = 85152^2 + 113536^2 .

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, 22706757 + ... + 22707643.

Almost surely, 2^20141286400 is an apocalyptic number.

20141286400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20141286400 is the 141920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20141286400

20141286400 is an abundant number, since it is smaller than the sum of its proper divisors (29841063849).

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

20141286400 is an frugal number, since it uses more digits than its factorization.

20141286400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1804 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The spelling of 20141286400 in words is "twenty billion, one hundred forty-one million, two hundred eighty-six thousand, four hundred".