1000414241321 has 8 divisors (see below), whose sum is σ = 1091418397824. Its totient is φ = 909419652720.

The previous prime is 1000414241273. The next prime is 1000414241363. The reversal of 1000414241321 is 1231424140001.

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 1000414241321 - 2¹⁰ = 1000414240297 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1000414241521) 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, 2172470 + ... + 2592383.

It is an arithmetic number, because the mean of its divisors is an integer number (136427299728).

Almost surely, 2^{1000414241321} is an apocalyptic number.

1000414241321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1000414241321 is a deficient number, since it is larger than the sum of its proper divisors (91004156503).

1000414241321 is a wasteful number, since it uses less digits than its factorization.

1000414241321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4783951.

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 1000414241321 its reverse (1231424140001), we get a palindrome (2231838381322).

The spelling of 1000414241321 in words is "one trillion, four hundred fourteen million, two hundred forty-one thousand, three hundred twenty-one".