196198057440 has 960 divisors, whose sum is σ = 867174916608. Its totient is φ = 40584499200.

The previous prime is 196198057399. The next prime is 196198057457. The reversal of 196198057440 is 44750891691.

196198057440 is a `hidden beast` number, since 1 + 9 + 6 + 198 + 0 + 5 + 7 + 440 = 666.

196198057440 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 420124087 + ... + 420124553.

Almost surely, 2^196198057440 is an apocalyptic number.

196198057440 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 196198057440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433587458304).

196198057440 is an abundant number, since it is smaller than the sum of its proper divisors (670976859168).

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

196198057440 is a wasteful number, since it uses less digits than its factorization.

196198057440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 196198057440 in words is "one hundred ninety-six billion, one hundred ninety-eight million, fifty-seven thousand, four hundred forty".