401114414113121 has 16 divisors (see below), whose sum is σ = 402522746388480. Its totient is φ = 399707759117520.

The previous prime is 401114414113109. The next prime is 401114414113159. The reversal of 401114414113121 is 121311414411104.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-401114414113121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (401114414113181) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5440499360 + ... + 5440573086.

It is an arithmetic number, because the mean of its divisors is an integer number (25157671649280).

Almost surely, 2^{401114414113121} is an apocalyptic number.

It is an amenable number.

401114414113121 is a deficient number, since it is larger than the sum of its proper divisors (1408332275359).

401114414113121 is a wasteful number, since it uses less digits than its factorization.

401114414113121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84844.

The product of its (nonzero) digits is 1536, while the sum is 29.

Adding to 401114414113121 its reverse (121311414411104), we get a palindrome (522425828524225).

The spelling of 401114414113121 in words is "four hundred one trillion, one hundred fourteen billion, four hundred fourteen million, one hundred thirteen thousand, one hundred twenty-one".