419427113120 has 96 divisors (see below), whose sum is σ = 1034269834752. Its totient is φ = 160431327232.

The previous prime is 419427113089. The next prime is 419427113197. The reversal of 419427113120 is 21311724914.

It is a super-2 number, since 2×419427113120² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 14974649 + ... + 15002631.

It is an arithmetic number, because the mean of its divisors is an integer number (10773644112).

Almost surely, 2^419427113120 is an apocalyptic number.

419427113120 is a gapful number since it is divisible by the number (40) 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 419427113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517134917376).

419427113120 is an abundant number, since it is smaller than the sum of its proper divisors (614842721632).

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

419427113120 is a wasteful number, since it uses less digits than its factorization.

419427113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32094 (or 32086 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The spelling of 419427113120 in words is "four hundred nineteen billion, four hundred twenty-seven million, one hundred thirteen thousand, one hundred twenty".