10002400144 has 45 divisors (see below), whose sum is σ = 21310974769. Its totient is φ = 4544545280.

The previous prime is 10002400141. The next prime is 10002400159. The reversal of 10002400144 is 44100420001.

The square root of 10002400144 is 100012.

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., 8907584400 + 1094815744 = 94380^2 + 33088^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10002400141) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 4399392 + ... + 4401664.

Almost surely, 2^10002400144 is an apocalyptic number.

10002400144 is the 100012-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10002400144

10002400144 is an abundant number, since it is smaller than the sum of its proper divisors (11308574625).

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

10002400144 is an frugal number, since it uses more digits than its factorization.

10002400144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4576 (or 2286 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Multiplying 10002400144 by its sum of digits (16), we get a square (160038402304 = 400048²).

10002400144 divided by its sum of digits (16) gives a square (625150009 = 25003²).

Adding to 10002400144 its reverse (44100420001), we get a palindrome (54102820145).

The spelling of 10002400144 in words is "ten billion, two million, four hundred thousand, one hundred forty-four".