1144013300430 has 384 divisors, whose sum is σ = 3806927133696. Its totient is φ = 213497856000.

The previous prime is 1144013300411. The next prime is 1144013300483. The reversal of 1144013300430 is 340033104411.

It is a self number, because there is not a number n which added to its sum of digits gives 1144013300430.

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 191 ways as a sum of consecutive naturals, for example, 14404830 + ... + 14484030.

It is an arithmetic number, because the mean of its divisors is an integer number (9913872744).

Almost surely, 2^{1144013300430} is an apocalyptic number.

1144013300430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1144013300430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1903463566848).

1144013300430 is an abundant number, since it is smaller than the sum of its proper divisors (2662913833266).

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

1144013300430 is a wasteful number, since it uses less digits than its factorization.

1144013300430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79292 (or 79279 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1144013300430 its reverse (340033104411), we get a palindrome (1484046404841).

The spelling of 1144013300430 in words is "one trillion, one hundred forty-four billion, thirteen million, three hundred thousand, four hundred thirty".