190985005861440 has 896 divisors, whose sum is σ = 734524428718080. Its totient is φ = 41070617395200.

The previous prime is 190985005861411. The next prime is 190985005861469. The reversal of 190985005861440 is 44168500589091.

It is an interprime number because it is at equal distance from previous prime (190985005861411) and next prime (190985005861469).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17864086495 + ... + 17864097185.

It is an arithmetic number, because the mean of its divisors is an integer number (819781728480).

Almost surely, 2^{190985005861440} is an apocalyptic number.

190985005861440 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 190985005861440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367262214359040).

190985005861440 is an abundant number, since it is smaller than the sum of its proper divisors (543539422856640).

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

190985005861440 is a wasteful number, since it uses less digits than its factorization.

190985005861440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11691 (or 11681 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 60.

The spelling of 190985005861440 in words is "one hundred ninety trillion, nine hundred eighty-five billion, five million, eight hundred sixty-one thousand, four hundred forty".