198812413440 has 280 divisors, whose sum is σ = 714705503688. Its totient is φ = 53016145920.

The previous prime is 198812413439. The next prime is 198812413447. The reversal of 198812413440 is 44314218891.

198812413440 is a `hidden beast` number, since 1 + 9 + 88 + 124 + 1 + 3 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198812413447) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1812975 + ... + 1919505.

Almost surely, 2^198812413440 is an apocalyptic number.

198812413440 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 198812413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357352751844).

198812413440 is an abundant number, since it is smaller than the sum of its proper divisors (515893090248).

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

198812413440 is an frugal number, since it uses more digits than its factorization.

198812413440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106572 (or 106541 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 198812413440 in words is "one hundred ninety-eight billion, eight hundred twelve million, four hundred thirteen thousand, four hundred forty".