419984543160 has 1920 divisors, whose sum is σ = 1887646464000. Its totient is φ = 81750269952.

The previous prime is 419984543131. The next prime is 419984543161. The reversal of 419984543160 is 61345489914.

419984543160 is a `hidden beast` number, since 4 + 1 + 9 + 9 + 84 + 543 + 16 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 419984543097 and 419984543106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (419984543161) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 5316260001 + ... + 5316260079.

It is an arithmetic number, because the mean of its divisors is an integer number (983149200).

Almost surely, 2^419984543160 is an apocalyptic number.

419984543160 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 419984543160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943823232000).

419984543160 is an abundant number, since it is smaller than the sum of its proper divisors (1467661920840).

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

419984543160 is a wasteful number, since it uses less digits than its factorization.

419984543160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 419984543160 in words is "four hundred nineteen billion, nine hundred eighty-four million, five hundred forty-three thousand, one hundred sixty".