1012411205344 has 96 divisors (see below), whose sum is σ = 2490621509376. Its totient is φ = 393555102720.

The previous prime is 1012411205303. The next prime is 1012411205347. The reversal of 1012411205344 is 4435021142101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012411205347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 627804 + ... + 1555300.

It is an arithmetic number, because the mean of its divisors is an integer number (25943974056).

Almost surely, 2^{1012411205344} is an apocalyptic number.

1012411205344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012411205344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245310754688).

1012411205344 is an abundant number, since it is smaller than the sum of its proper divisors (1478210304032).

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

1012411205344 is a wasteful number, since it uses less digits than its factorization.

1012411205344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927968 (or 927960 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

Adding to 1012411205344 its reverse (4435021142101), we get a palindrome (5447432347445).

The spelling of 1012411205344 in words is "one trillion, twelve billion, four hundred eleven million, two hundred five thousand, three hundred forty-four".