1002860042041 has 81 divisors (see below), whose sum is σ = 1227810232173. Its totient is φ = 818127435840.

The previous prime is 1002860042021. The next prime is 1002860042059. The reversal of 1002860042041 is 1402400682001.

The square root of 1002860042041 is 1001429.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 542763725625 + 460096316416 = 736725^2 + 678304^2 .

It is not a de Polignac number, because 1002860042041 - 2⁷ = 1002860041913 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1002860042021) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 6730604235 + ... + 6730604383.

Almost surely, 2^{1002860042041} is an apocalyptic number.

1002860042041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1002860042041 is the 1001429-th square number.

1002860042041 is the 500715-th centered octagonal number.

It is an amenable number.

1002860042041 is a deficient number, since it is larger than the sum of its proper divisors (224950190132).

1002860042041 is an equidigital number, since it uses as much as digits as its factorization.

1002860042041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The spelling of 1002860042041 in words is "one trillion, two billion, eight hundred sixty million, forty-two thousand, forty-one".