20141200144 has 40 divisors (see below), whose sum is σ = 43050416472. Its totient is φ = 9069204480.

The previous prime is 20141200133. The next prime is 20141200151. The reversal of 20141200144 is 44100214102.

It can be written as a sum of positive squares in 4 ways, for example, as 1750585600 + 18390614544 = 41840^2 + 135612^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1172359 + ... + 1189414.

Almost surely, 2^20141200144 is an apocalyptic number.

It is an amenable number.

20141200144 is an abundant number, since it is smaller than the sum of its proper divisors (22909216328).

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

20141200144 is a wasteful number, since it uses less digits than its factorization.

20141200144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2361835 (or 2361829 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 20141200144 its reverse (44100214102), we get a palindrome (64241414246).

The spelling of 20141200144 in words is "twenty billion, one hundred forty-one million, two hundred thousand, one hundred forty-four".