419422872960 has 1280 divisors, whose sum is σ = 1872413706240. Its totient is φ = 87107125248.

The previous prime is 419422872949. The next prime is 419422872961. The reversal of 419422872960 is 69278224914.

It is a happy number.

419422872960 is a `hidden beast` number, since 41 + 94 + 228 + 7 + 296 + 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 = 419422872897 and 419422872906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (419422872961) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 316067817 + ... + 316069143.

It is an arithmetic number, because the mean of its divisors is an integer number (1462823208).

Almost surely, 2^419422872960 is an apocalyptic number.

419422872960 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 419422872960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936206853120).

419422872960 is an abundant number, since it is smaller than the sum of its proper divisors (1452990833280).

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

419422872960 is a wasteful number, since it uses less digits than its factorization.

419422872960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1445 (or 1424 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 419422872960 in words is "four hundred nineteen billion, four hundred twenty-two million, eight hundred seventy-two thousand, nine hundred sixty".