420829898911321 has 9 divisors (see below), whose sum is σ = 430845142494879. Its totient is φ = 411042295482336.

The previous prime is 420829898911291. The next prime is 420829898911339. The reversal of 420829898911321 is 123119898928024.

The square root of 420829898911321 is 20514139.

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

It can be written as a sum of positive squares in only one way, i.e., 52294953825625 + 368534945085696 = 7231525^2 + 19197264^2 .

It is not a de Polignac number, because 420829898911321 - 2⁹ = 420829898910809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (420829898911361) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 881869441 + ... + 882346513.

It is an arithmetic number, because the mean of its divisors is an integer number (47871682499431).

Almost surely, 2^{420829898911321} is an apocalyptic number.

420829898911321 is the 20514139-th square number.

420829898911321 is the 10257070-th centered octagonal number.

It is an amenable number.

420829898911321 is a deficient number, since it is larger than the sum of its proper divisors (10015243583558).

420829898911321 is an frugal number, since it uses more digits than its factorization.

420829898911321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954232 (or 477116 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 67.

The spelling of 420829898911321 in words is "four hundred twenty trillion, eight hundred twenty-nine billion, eight hundred ninety-eight million, nine hundred eleven thousand, three hundred twenty-one".