419429797956 has 405 divisors, whose sum is σ = 1266814243149. Its totient is φ = 116947157184.

The previous prime is 419429797903. The next prime is 419429797957. The reversal of 419429797956 is 659797924914.

The square root of 419429797956 is 647634.

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

419429797956 is a `hidden beast` number, since 4 + 19 + 429 + 79 + 79 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 62045828100 + 357383969856 = 249090^2 + 597816^2 .

Its product of digits (308629440) is a multiple of the sum of its prime divisors (60).

It is not an unprimeable number, because it can be changed into a prime (419429797957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 18236078161 + ... + 18236078183.

Almost surely, 2^419429797956 is an apocalyptic number.

419429797956 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

419429797956 is the 647634-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 419429797956

419429797956 is an abundant number, since it is smaller than the sum of its proper divisors (847384445193).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

419429797956 is a wasteful number, since it uses less digits than its factorization.

419429797956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 60 counting only the distinct ones).

The product of its digits is 308629440, while the sum is 72.

The spelling of 419429797956 in words is "four hundred nineteen billion, four hundred twenty-nine million, seven hundred ninety-seven thousand, nine hundred fifty-six".