419311427808 has 384 divisors, whose sum is σ = 1415106201600. Its totient is φ = 105731039232.

The previous prime is 419311427771. The next prime is 419311427839. The reversal of 419311427808 is 808724113914.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26086398 + ... + 26102466.

It is an arithmetic number, because the mean of its divisors is an integer number (3685172400).

Almost surely, 2^419311427808 is an apocalyptic number.

419311427808 is a gapful number since it is divisible by the number (48) 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 419311427808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707553100800).

419311427808 is an abundant number, since it is smaller than the sum of its proper divisors (995794773792).

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

419311427808 is a wasteful number, since it uses less digits than its factorization.

419311427808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16234 (or 16226 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The spelling of 419311427808 in words is "four hundred nineteen billion, three hundred eleven million, four hundred twenty-seven thousand, eight hundred eight".