414014101121 has 8 divisors (see below), whose sum is σ = 415290517920. Its totient is φ = 412739645472.

The previous prime is 414014101103. The next prime is 414014101129. The reversal of 414014101121 is 121101410414.

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 414014101121 - 2¹⁸ = 414013838977 is a prime.

It is a super-2 number, since 2×414014101121² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 414014101093 and 414014101102.

It is not an unprimeable number, because it can be changed into a prime (414014101129) 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, 66860 + ... + 912413.

It is an arithmetic number, because the mean of its divisors is an integer number (51911314740).

Almost surely, 2^414014101121 is an apocalyptic number.

It is an amenable number.

414014101121 is a deficient number, since it is larger than the sum of its proper divisors (1276416799).

414014101121 is an equidigital number, since it uses as much as digits as its factorization.

414014101121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980575.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 414014101121 its reverse (121101410414), we get a palindrome (535115511535).

The spelling of 414014101121 in words is "four hundred fourteen billion, fourteen million, one hundred one thousand, one hundred twenty-one".