419929942164096 has 1536 divisors, whose sum is σ = 1465637356339200. Its totient is φ = 104091306688512.

The previous prime is 419929942164053. The next prime is 419929942164097. The reversal of 419929942164096 is 690461249929914.

It is not an unprimeable number, because it can be changed into a prime (419929942164097) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 238732200465 + ... + 238732202223.

It is an arithmetic number, because the mean of its divisors is an integer number (954190987200).

Almost surely, 2^{419929942164096} is an apocalyptic number.

419929942164096 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 419929942164096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732818678169600).

419929942164096 is an abundant number, since it is smaller than the sum of its proper divisors (1045707414175104).

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

419929942164096 is a wasteful number, since it uses less digits than its factorization.

419929942164096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2218 (or 2193 counting only the distinct ones).

The product of its (nonzero) digits is 544195584, while the sum is 75.

The spelling of 419929942164096 in words is "four hundred nineteen trillion, nine hundred twenty-nine billion, nine hundred forty-two million, one hundred sixty-four thousand, ninety-six".