196141440 has 256 divisors, whose sum is σ = 703261440. Its totient is φ = 46080000.

The previous prime is 196141409. The next prime is 196141487. The reversal of 196141440 is 44141691.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 196141398 and 196141407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 781315 + ... + 781565.

It is an arithmetic number, because the mean of its divisors is an integer number (2747115).

Almost surely, 2^196141440 is an apocalyptic number.

196141440 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 196141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351630720).

196141440 is an abundant number, since it is smaller than the sum of its proper divisors (507120000).

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

196141440 is a wasteful number, since it uses less digits than its factorization.

196141440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 196141440 is about 14005.0505175811. The cubic root of 196141440 is about 581.0182667413.

The spelling of 196141440 in words is "one hundred ninety-six million, one hundred forty-one thousand, four hundred forty".