1020413441214 has 48 divisors (see below), whose sum is σ = 2241360252144. Its totient is φ = 335451715200.

The previous prime is 1020413441213. The next prime is 1020413441227. The reversal of 1020413441214 is 4121443140201.

1020413441214 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 4 + 1 + 3 + 441 + 214 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020413441213) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 23079349 + ... + 23123519.

It is an arithmetic number, because the mean of its divisors is an integer number (46695005253).

Almost surely, 2^{1020413441214} is an apocalyptic number.

1020413441214 is an abundant number, since it is smaller than the sum of its proper divisors (1220946810930).

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

1020413441214 is a wasteful number, since it uses less digits than its factorization.

1020413441214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61833 (or 61830 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 1020413441214 its reverse (4121443140201), we get a palindrome (5141856581415).

The spelling of 1020413441214 in words is "one trillion, twenty billion, four hundred thirteen million, four hundred forty-one thousand, two hundred fourteen".