144400133013430 has 96 divisors (see below), whose sum is σ = 306758104091712. Its totient is φ = 48788489030400.

The previous prime is 144400133013421. The next prime is 144400133013473. The reversal of 144400133013430 is 34310331004441.

It is a happy number.

144400133013430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 144400133013392 and 144400133013401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73516072 + ... + 75454708.

It is an arithmetic number, because the mean of its divisors is an integer number (3195396917622).

Almost surely, 2^{144400133013430} is an apocalyptic number.

144400133013430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

144400133013430 is an abundant number, since it is smaller than the sum of its proper divisors (162357971078282).

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

144400133013430 is a wasteful number, since it uses less digits than its factorization.

144400133013430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1940870 (or 1940863 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

Adding to 144400133013430 its reverse (34310331004441), we get a palindrome (178710464017871).

The spelling of 144400133013430 in words is "one hundred forty-four trillion, four hundred billion, one hundred thirty-three million, thirteen thousand, four hundred thirty".