419627997369 has 81 divisors (see below), whose sum is σ = 714140708463. Its totient is φ = 236748010464.

The previous prime is 419627997343. The next prime is 419627997407. The reversal of 419627997369 is 963799726914.

The square root of 419627997369 is 647787.

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

419627997369 is a `hidden beast` number, since 4 + 196 + 2 + 79 + 9 + 7 + 369 = 666.

419627997369 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 292478700969 + 127149296400 = 540813^2 + 356580^2 .

It is not a de Polignac number, because 419627997369 - 2¹⁹ = 419627473081 is a prime.

It is a super-2 number, since 2×419627997369² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 419627997297 and 419627997306.

It is not an unprimeable number, because it can be changed into a prime (419627997469) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1482784302 + ... + 1482784584.

Almost surely, 2^419627997369 is an apocalyptic number.

419627997369 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

419627997369 is the 647787-th square number.

419627997369 is the 323894-th centered octagonal number.

It is an amenable number.

419627997369 is a deficient number, since it is larger than the sum of its proper divisors (294512711094).

419627997369 is an equidigital number, since it uses as much as digits as its factorization.

419627997369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 402 counting only the distinct ones).

The product of its digits is 277766496, while the sum is 72.

The spelling of 419627997369 in words is "four hundred nineteen billion, six hundred twenty-seven million, nine hundred ninety-seven thousand, three hundred sixty-nine".