419998390560 has 576 divisors, whose sum is σ = 1753897017600. Its totient is φ = 89334153216.

The previous prime is 419998390541. The next prime is 419998390663. The reversal of 419998390560 is 65093899914.

419998390560 is a `hidden beast` number, since 4 + 199 + 9 + 8 + 390 + 56 + 0 = 666.

It is a super-2 number, since 2×419998390560² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 15237271 + ... + 15264809.

It is an arithmetic number, because the mean of its divisors is an integer number (3044960100).

Almost surely, 2^419998390560 is an apocalyptic number.

419998390560 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 419998390560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876948508800).

419998390560 is an abundant number, since it is smaller than the sum of its proper divisors (1333898627040).

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

419998390560 is a wasteful number, since it uses less digits than its factorization.

419998390560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27673 (or 27662 counting only the distinct ones).

The product of its (nonzero) digits is 18895680, while the sum is 63.

The spelling of 419998390560 in words is "four hundred nineteen billion, nine hundred ninety-eight million, three hundred ninety thousand, five hundred sixty".