1012581444000 has 384 divisors, whose sum is σ = 3798980849664. Its totient is φ = 230966400000.

The previous prime is 1012581443963. The next prime is 1012581444011. The reversal of 1012581444000 is 4441852101.

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

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 41231725 + ... + 41256275.

It is an arithmetic number, because the mean of its divisors is an integer number (9893179296).

Almost surely, 2^{1012581444000} is an apocalyptic number.

1012581444000 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 1012581444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1899490424832).

1012581444000 is an abundant number, since it is smaller than the sum of its proper divisors (2786399405664).

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

1012581444000 is a wasteful number, since it uses less digits than its factorization.

1012581444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25077 (or 25059 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The spelling of 1012581444000 in words is "one trillion, twelve billion, five hundred eighty-one million, four hundred forty-four thousand".