4047089102496 has 216 divisors, whose sum is σ = 12792436986420. Its totient is φ = 1212610037760.

The previous prime is 4047089102491. The next prime is 4047089102579. The reversal of 4047089102496 is 6942019807404.

4047089102496 is a `hidden beast` number, since 4 + 0 + 4 + 70 + 89 + 1 + 0 + 2 + 496 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3882334292496 + 164754810000 = 1970364^2 + 405900^2 .

It is not an unprimeable number, because it can be changed into a prime (4047089102491) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2449026 + ... + 3753918.

Almost surely, 2^{4047089102496} 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 4047089102496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6396218493210).

4047089102496 is an abundant number, since it is smaller than the sum of its proper divisors (8745347883924).

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

4047089102496 is a wasteful number, since it uses less digits than its factorization.

4047089102496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1305020 (or 1304998 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 4047089102496 in words is "four trillion, forty-seven billion, eighty-nine million, one hundred two thousand, four hundred ninety-six".