1004012410401 has 192 divisors, whose sum is σ = 2066314199040. Its totient is φ = 452113643520.

The previous prime is 1004012410369. The next prime is 1004012410421. The reversal of 1004012410401 is 1040142104001.

1004012410401 is a `hidden beast` number, since 100 + 40 + 124 + 1 + 0 + 401 = 666.

1004012410401 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1004012410401 - 2⁵ = 1004012410369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1004012410421) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 70902760 + ... + 70916918.

It is an arithmetic number, because the mean of its divisors is an integer number (10762053120).

Almost surely, 2^{1004012410401} is an apocalyptic number.

1004012410401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1004012410401 is an abundant number, since it is smaller than the sum of its proper divisors (1062301788639).

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

1004012410401 is a wasteful number, since it uses less digits than its factorization.

1004012410401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14676 (or 14673 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1004012410401 its reverse (1040142104001), we get a palindrome (2044154514402).

The spelling of 1004012410401 in words is "one trillion, four billion, twelve million, four hundred ten thousand, four hundred one".