2041331934096 has 1600 divisors, whose sum is σ = 7864093332480. Its totient is φ = 499584983040.

The previous prime is 2041331934091. The next prime is 2041331934137. The reversal of 2041331934096 is 6904391331402.

It is a happy number.

2041331934096 is a `hidden beast` number, since 2 + 0 + 413 + 3 + 193 + 40 + 9 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (2041331934091) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 27963451116 + ... + 27963451188.

Almost surely, 2^{2041331934096} is an apocalyptic number.

2041331934096 is a gapful number since it is divisible by the number (26) 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 2041331934096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3932046666240).

2041331934096 is an abundant number, since it is smaller than the sum of its proper divisors (5822761398384).

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

2041331934096 is a wasteful number, since it uses less digits than its factorization.

2041331934096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 2041331934096 in words is "two trillion, forty-one billion, three hundred thirty-one million, nine hundred thirty-four thousand, ninety-six".