4047911292096 has 896 divisors, whose sum is σ = 14262915563520. Its totient is φ = 1101529497600.

The previous prime is 4047911292077. The next prime is 4047911292097. The reversal of 4047911292096 is 6902921197404.

4047911292096 is a `hidden beast` number, since 40 + 479 + 1 + 1 + 29 + 20 + 96 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (4047911292097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12011606040 + ... + 12011606376.

Almost surely, 2^{4047911292096} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4047911292096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7131457781760).

4047911292096 is an abundant number, since it is smaller than the sum of its proper divisors (10215004271424).

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

4047911292096 is a wasteful number, since it uses less digits than its factorization.

4047911292096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 4047911292096 in words is "four trillion, forty-seven billion, nine hundred eleven million, two hundred ninety-two thousand, ninety-six".