196004381040 has 640 divisors, whose sum is σ = 755514144000. Its totient is φ = 46374322176.

The previous prime is 196004381003. The next prime is 196004381071. The reversal of 196004381040 is 40183400691.

196004381040 is a `hidden beast` number, since 1 + 9 + 600 + 4 + 3 + 8 + 1 + 0 + 40 = 666.

It is a super-2 number, since 2×196004381040² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 196004380986 and 196004381004.

It is a congruent number.

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, 254881776 + ... + 254882544.

It is an arithmetic number, because the mean of its divisors is an integer number (1180490850).

Almost surely, 2^196004381040 is an apocalyptic number.

196004381040 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 196004381040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377757072000).

196004381040 is an abundant number, since it is smaller than the sum of its proper divisors (559509762960).

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

196004381040 is a wasteful number, since it uses less digits than its factorization.

196004381040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 196004381040 in words is "one hundred ninety-six billion, four million, three hundred eighty-one thousand, forty".