420690414326121 has 81 divisors (see below), whose sum is σ = 634962898783863. Its totient is φ = 278711407545840.

The previous prime is 420690414326099. The next prime is 420690414326197. The reversal of 420690414326121 is 121623414096024.

The square root of 420690414326121 is 20510739.

It is a perfect power (a square), and thus also a powerful number.

420690414326121 is a `hidden beast` number, since 4 + 2 + 0 + 6 + 90 + 4 + 1 + 432 + 6 + 121 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4635671669721 + 416054742656400 = 2153061^2 + 20397420^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 420690414326121 - 2⁹ = 420690414325609 is a prime.

It is a super-2 number, since 2×420690414326121² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (420690414336121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 300707943780 + ... + 300707945178.

Almost surely, 2^{420690414326121} is an apocalyptic number.

420690414326121 is the 20510739-th square number.

420690414326121 is the 10255370-th centered octagonal number.

It is an amenable number.

420690414326121 is a deficient number, since it is larger than the sum of its proper divisors (214272484457742).

420690414326121 is an frugal number, since it uses more digits than its factorization.

420690414326121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3184 (or 1583 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

It can be divided in two parts, 4206904 and 14326121, that added together give a square (18533025 = 4305²).

The spelling of 420690414326121 in words is "four hundred twenty trillion, six hundred ninety billion, four hundred fourteen million, three hundred twenty-six thousand, one hundred twenty-one".