1002400010041 has 8 divisors (see below), whose sum is σ = 1064038186440. Its totient is φ = 941058885888.

The previous prime is 1002400010033. The next prime is 1002400010141. The reversal of 1002400010041 is 1400100042001.

It can be written as a sum of positive squares in 4 ways, for example, as 374304134416 + 628095875625 = 611804^2 + 792525^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1002400010041 - 2³ = 1002400010033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1002400010021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74256106 + ... + 74269603.

It is an arithmetic number, because the mean of its divisors is an integer number (133004773305).

Almost surely, 2^{1002400010041} is an apocalyptic number.

It is an amenable number.

1002400010041 is a deficient number, since it is larger than the sum of its proper divisors (61638176399).

1002400010041 is a wasteful number, since it uses less digits than its factorization.

1002400010041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148526123.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 1002400010041 its reverse (1400100042001), we get a palindrome (2402500052042).

The spelling of 1002400010041 in words is "one trillion, two billion, four hundred million, ten thousand, forty-one".