198671403840 has 448 divisors, whose sum is σ = 787006864896. Its totient is φ = 41341943808.

The previous prime is 198671403817. The next prime is 198671403841. The reversal of 198671403840 is 48304176891.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198671403841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6361704 + ... + 6392856.

It is an arithmetic number, because the mean of its divisors is an integer number (1756711752).

Almost surely, 2^198671403840 is an apocalyptic number.

198671403840 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 198671403840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393503432448).

198671403840 is an abundant number, since it is smaller than the sum of its proper divisors (588335461056).

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

198671403840 is a wasteful number, since it uses less digits than its factorization.

198671403840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31266 (or 31256 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The spelling of 198671403840 in words is "one hundred ninety-eight billion, six hundred seventy-one million, four hundred three thousand, eight hundred forty".