419750472960 has 864 divisors, whose sum is σ = 1849207127040. Its totient is φ = 85502656512.

The previous prime is 419750472943. The next prime is 419750472971. The reversal of 419750472960 is 69274057914.

419750472960 is a `hidden beast` number, since 4 + 1 + 9 + 7 + 504 + 72 + 9 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 419750472897 and 419750472906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30394377 + ... + 30408183.

Almost surely, 2^419750472960 is an apocalyptic number.

419750472960 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 419750472960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924603563520).

419750472960 is an abundant number, since it is smaller than the sum of its proper divisors (1429456654080).

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

419750472960 is a wasteful number, since it uses less digits than its factorization.

419750472960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13883 (or 13866 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 419750472960 in words is "four hundred nineteen billion, seven hundred fifty million, four hundred seventy-two thousand, nine hundred sixty".