1144414133310 has 256 divisors, whose sum is σ = 3411980402688. Its totient is φ = 239684659200.

The previous prime is 1144414133273. The next prime is 1144414133323. The reversal of 1144414133310 is 133314144411.

It is a super-2 number, since 2×1144414133310² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 47729625 + ... + 47753595.

It is an arithmetic number, because the mean of its divisors is an integer number (13328048448).

Almost surely, 2^{1144414133310} is an apocalyptic number.

1144414133310 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 1144414133310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1705990201344).

1144414133310 is an abundant number, since it is smaller than the sum of its proper divisors (2267566269378).

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

1144414133310 is a wasteful number, since it uses less digits than its factorization.

1144414133310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24359.

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 1144414133310 its reverse (133314144411), we get a palindrome (1277728277721).

The spelling of 1144414133310 in words is "one trillion, one hundred forty-four billion, four hundred fourteen million, one hundred thirty-three thousand, three hundred ten".