420201515331441 has 48 divisors (see below), whose sum is σ = 636128719574400. Its totient is φ = 266779136042496.

The previous prime is 420201515331401. The next prime is 420201515331491. The reversal of 420201515331441 is 144133515102024.

420201515331441 is a `hidden beast` number, since 4 + 2 + 0 + 20 + 1 + 51 + 533 + 14 + 41 = 666.

It is not a de Polignac number, because 420201515331441 - 2²¹ = 420201513234289 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 420201515331396 and 420201515331405.

It is not an unprimeable number, because it can be changed into a prime (420201515331401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80377966 + ... + 85446008.

It is an arithmetic number, because the mean of its divisors is an integer number (13252681657800).

Almost surely, 2^{420201515331441} is an apocalyptic number.

It is an amenable number.

420201515331441 is a deficient number, since it is larger than the sum of its proper divisors (215927204242959).

420201515331441 is a wasteful number, since it uses less digits than its factorization.

420201515331441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5069830 (or 5069827 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 420201515331441 in words is "four hundred twenty trillion, two hundred one billion, five hundred fifteen million, three hundred thirty-one thousand, four hundred forty-one".