1012055105440 has 48 divisors (see below), whose sum is σ = 2395399948200. Its totient is φ = 404073722880.

The previous prime is 1012055105429. The next prime is 1012055105459. The reversal of 1012055105440 is 445015502101.

It can be written as a sum of positive squares in 4 ways, for example, as 915550440336 + 96504665104 = 956844^2 + 310652^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1012055105399 and 1012055105408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5759415 + ... + 5932534.

Almost surely, 2^{1012055105440} is an apocalyptic number.

1012055105440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012055105440 is an abundant number, since it is smaller than the sum of its proper divisors (1383344842760).

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

1012055105440 is a wasteful number, since it uses less digits than its factorization.

1012055105440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11692505 (or 11692497 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 28.

The spelling of 1012055105440 in words is "one trillion, twelve billion, fifty-five million, one hundred five thousand, four hundred forty".