198419027840 has 256 divisors, whose sum is σ = 548781868800. Its totient is φ = 67799777280.

The previous prime is 198419027827. The next prime is 198419027861. The reversal of 198419027840 is 48720914891.

It is a super-2 number, since 2×198419027840² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121953107 + ... + 121954733.

It is an arithmetic number, because the mean of its divisors is an integer number (2143679175).

Almost surely, 2^198419027840 is an apocalyptic number.

198419027840 is a gapful number since it is divisible by the number (10) 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 198419027840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274390934400).

198419027840 is an abundant number, since it is smaller than the sum of its proper divisors (350362840960).

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

198419027840 is a wasteful number, since it uses less digits than its factorization.

198419027840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2693 (or 2681 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 53.

The spelling of 198419027840 in words is "one hundred ninety-eight billion, four hundred nineteen million, twenty-seven thousand, eight hundred forty".