144400004120 has 64 divisors (see below), whose sum is σ = 335878250400. Its totient is φ = 55834168320.

The previous prime is 144400004107. The next prime is 144400004137. The reversal of 144400004120 is 21400004441.

It is a happy number.

It is a super-2 number, since 2×144400004120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 144400004092 and 144400004101.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 225134 + ... + 582653.

Almost surely, 2^144400004120 is an apocalyptic number.

144400004120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144400004120 is an abundant number, since it is smaller than the sum of its proper divisors (191478246280).

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

144400004120 is a wasteful number, since it uses less digits than its factorization.

144400004120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807948 (or 807944 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 144400004120 its reverse (21400004441), we get a palindrome (165800008561).

The spelling of 144400004120 in words is "one hundred forty-four billion, four hundred million, four thousand, one hundred twenty".