1012013991040 has 128 divisors (see below), whose sum is σ = 2606144325120. Its totient is φ = 373567057920.

The previous prime is 1012013990989. The next prime is 1012013991067. The reversal of 1012013991040 is 401993102101.

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 = 1012013990993 and 1012013991011.

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, 35986585 + ... + 36014695.

It is an arithmetic number, because the mean of its divisors is an integer number (20360502540).

Almost surely, 2^{1012013991040} is an apocalyptic number.

1012013991040 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 1012013991040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1303072162560).

1012013991040 is an abundant number, since it is smaller than the sum of its proper divisors (1594130334080).

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

1012013991040 is a wasteful number, since it uses less digits than its factorization.

1012013991040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32470 (or 32458 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 31.

The spelling of 1012013991040 in words is "one trillion, twelve billion, thirteen million, nine hundred ninety-one thousand, forty".