1012334023040 has 128 divisors (see below), whose sum is σ = 2507292273600. Its totient is φ = 390388031488.

The previous prime is 1012334023033. The next prime is 1012334023073. The reversal of 1012334023040 is 403204332101.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 1012334022997 and 1012334023015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12524837 + ... + 12605403.

Almost surely, 2^{1012334023040} is an apocalyptic number.

1012334023040 is a gapful number since it is divisible by the number (10) 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 1012334023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1253646136800).

1012334023040 is an abundant number, since it is smaller than the sum of its proper divisors (1494958250560).

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

1012334023040 is an equidigital number, since it uses as much as digits as its factorization.

1012334023040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81292 (or 81280 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 1012334023040 its reverse (403204332101), we get a palindrome (1415538355141).

The spelling of 1012334023040 in words is "one trillion, twelve billion, three hundred thirty-four million, twenty-three thousand, forty".