402414101234121 has 96 divisors (see below), whose sum is σ = 565177540331520. Its totient is φ = 254586397120000.

The previous prime is 402414101234059. The next prime is 402414101234137. The reversal of 402414101234121 is 121432101414204.

It is not a de Polignac number, because 402414101234121 - 2⁷ = 402414101233993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (402414101234161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 61995698686 + ... + 61995705176.

It is an arithmetic number, because the mean of its divisors is an integer number (5887266045120).

Almost surely, 2^{402414101234121} is an apocalyptic number.

402414101234121 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

402414101234121 is a deficient number, since it is larger than the sum of its proper divisors (162763439097399).

402414101234121 is a wasteful number, since it uses less digits than its factorization.

402414101234121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8799 (or 8758 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

Adding to 402414101234121 its reverse (121432101414204), we get a palindrome (523846202648325).

The spelling of 402414101234121 in words is "four hundred two trillion, four hundred fourteen billion, one hundred one million, two hundred thirty-four thousand, one hundred twenty-one".