419827847069401 has 9 divisors (see below), whose sum is σ = 421690128153781. Its totient is φ = 417973754515612.

The previous prime is 419827847069369. The next prime is 419827847069413. The reversal of 419827847069401 is 104960748728914.

It is a happy number.

The square root of 419827847069401 is 20489701.

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

It is not a de Polignac number, because 419827847069401 - 2⁵ = 419827847069369 is a prime.

It is a super-2 number, since 2×419827847069401² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (419827847019401) 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, 4651116996 + ... + 4651207258.

Almost surely, 2^{419827847069401} is an apocalyptic number.

419827847069401 is the 20489701-st square number.

419827847069401 is the 10244851-st centered octagonal number.

It is an amenable number.

419827847069401 is a deficient number, since it is larger than the sum of its proper divisors (1862281084380).

419827847069401 is an frugal number, since it uses more digits than its factorization.

419827847069401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180980 (or 90490 counting only the distinct ones).

The product of its (nonzero) digits is 195084288, while the sum is 70.

The spelling of 419827847069401 in words is "four hundred nineteen trillion, eight hundred twenty-seven billion, eight hundred forty-seven million, sixty-nine thousand, four hundred one".