1144134310410 has 1024 divisors, whose sum is σ = 3971358720000. Its totient is φ = 228015710208.

The previous prime is 1144134310393. The next prime is 1144134310411. The reversal of 1144134310410 is 140134314411.

1144134310410 is a `hidden beast` number, since 114 + 4 + 134 + 3 + 1 + 0 + 410 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1144134310411) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 6391811701 + ... + 6391811879.

It is an arithmetic number, because the mean of its divisors is an integer number (3878280000).

Almost surely, 2^{1144134310410} is an apocalyptic number.

1144134310410 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 1144134310410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1985679360000).

1144134310410 is an abundant number, since it is smaller than the sum of its proper divisors (2827224409590).

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

1144134310410 is a wasteful number, since it uses less digits than its factorization.

1144134310410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 1144134310410 its reverse (140134314411), we get a palindrome (1284268624821).

The spelling of 1144134310410 in words is "one trillion, one hundred forty-four billion, one hundred thirty-four million, three hundred ten thousand, four hundred ten".