1410334401344 has 224 divisors, whose sum is σ = 3208260182400. Its totient is φ = 609244160000.

The previous prime is 1410334401293. The next prime is 1410334401347. The reversal of 1410334401344 is 4431044330141.

It is a super-2 number, since 2×1410334401344² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 1410334401344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1410334401347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 369098954 + ... + 369102774.

It is an arithmetic number, because the mean of its divisors is an integer number (14322590100).

Almost surely, 2^{1410334401344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1410334401344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1604130091200).

1410334401344 is an abundant number, since it is smaller than the sum of its proper divisors (1797925781056).

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

1410334401344 is a wasteful number, since it uses less digits than its factorization.

1410334401344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4153 (or 4143 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 1410334401344 its reverse (4431044330141), we get a palindrome (5841378731485).

The spelling of 1410334401344 in words is "one trillion, four hundred ten billion, three hundred thirty-four million, four hundred one thousand, three hundred forty-four".