10144012420 has 24 divisors (see below), whose sum is σ = 21304614744. Its totient is φ = 4057188096.

The previous prime is 10144012393. The next prime is 10144012451. The reversal of 10144012420 is 2421044101.

It can be written as a sum of positive squares in 4 ways, for example, as 771061824 + 9372950596 = 27768^2 + 96814^2 .

It is a super-2 number, since 2×10144012420² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 239482 + ... + 278638.

It is an arithmetic number, because the mean of its divisors is an integer number (887692281).

Almost surely, 2^10144012420 is an apocalyptic number.

10144012420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10144012420 is an abundant number, since it is smaller than the sum of its proper divisors (11160602324).

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

10144012420 is a wasteful number, since it uses less digits than its factorization.

10144012420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52119 (or 52117 counting only the distinct ones).

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

Adding to 10144012420 its reverse (2421044101), we get a palindrome (12565056521).

The spelling of 10144012420 in words is "ten billion, one hundred forty-four million, twelve thousand, four hundred twenty".