198611125440 has 672 divisors, whose sum is σ = 785538362880. Its totient is φ = 41628008448.

The previous prime is 198611125387. The next prime is 198611125457. The reversal of 198611125440 is 44521116891.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 198611125392 and 198611125401.

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, 203286232 + ... + 203287208.

Almost surely, 2^198611125440 is an apocalyptic number.

198611125440 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 198611125440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392769181440).

198611125440 is an abundant number, since it is smaller than the sum of its proper divisors (586927237440).

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

198611125440 is a wasteful number, since it uses less digits than its factorization.

198611125440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1209 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 42.

The spelling of 198611125440 in words is "one hundred ninety-eight billion, six hundred eleven million, one hundred twenty-five thousand, four hundred forty".