419107797864 has 448 divisors, whose sum is σ = 1412750592000. Its totient is φ = 113912396928.

The previous prime is 419107797863. The next prime is 419107797923. The reversal of 419107797864 is 468797701914.

419107797864 is a `hidden beast` number, since 419 + 1 + 0 + 77 + 97 + 8 + 64 = 666.

It is a super-2 number, since 2×419107797864² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (419107797863) 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 111 ways as a sum of consecutive naturals, for example, 186850327 + ... + 186852569.

Almost surely, 2^419107797864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 419107797864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706375296000).

419107797864 is an abundant number, since it is smaller than the sum of its proper divisors (993642794136).

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

419107797864 is a wasteful number, since it uses less digits than its factorization.

419107797864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2496 (or 2477 counting only the distinct ones).

The product of its (nonzero) digits is 21337344, while the sum is 63.

The spelling of 419107797864 in words is "four hundred nineteen billion, one hundred seven million, seven hundred ninety-seven thousand, eight hundred sixty-four".