1005141055140 has 72 divisors (see below), whose sum is σ = 3228276575160. Its totient is φ = 252270695424.

The previous prime is 1005141055133. The next prime is 1005141055153. The reversal of 1005141055140 is 415501415001.

1005141055140 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 141 + 0 + 5 + 514 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 445804594596 + 559336460544 = 667686^2 + 747888^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164235675 + ... + 164241794.

It is an arithmetic number, because the mean of its divisors is an integer number (44837174655).

Almost surely, 2^{1005141055140} is an apocalyptic number.

1005141055140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005141055140 is an abundant number, since it is smaller than the sum of its proper divisors (2223135520020).

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

1005141055140 is a wasteful number, since it uses less digits than its factorization.

1005141055140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328477501 (or 328477496 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 27.

The spelling of 1005141055140 in words is "one trillion, five billion, one hundred forty-one million, fifty-five thousand, one hundred forty".