419096426112 has 1920 divisors, whose sum is σ = 1701892684800. Its totient is φ = 101165137920.

The previous prime is 419096426107. The next prime is 419096426117. The reversal of 419096426112 is 211624690914.

419096426112 is a `hidden beast` number, since 41 + 90 + 96 + 426 + 1 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (419096426107) and next prime (419096426117).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (419096426117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4708948564 + ... + 4708948652.

It is an arithmetic number, because the mean of its divisors is an integer number (886402440).

Almost surely, 2^419096426112 is an apocalyptic number.

419096426112 is a gapful number since it is divisible by the number (42) 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 419096426112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850946342400).

419096426112 is an abundant number, since it is smaller than the sum of its proper divisors (1282796258688).

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

419096426112 is a wasteful number, since it uses less digits than its factorization.

419096426112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 419096426112 in words is "four hundred nineteen billion, ninety-six million, four hundred twenty-six thousand, one hundred twelve".