4011456541104 has 60 divisors (see below), whose sum is σ = 11325856511736. Its totient is φ = 1325318969856.

The previous prime is 4011456541097. The next prime is 4011456541109.

4011456541104 is a `hidden beast` number, since 4 + 0 + 1 + 1 + 4 + 5 + 6 + 541 + 104 = 666.

4011456541104 is nontrivially palindromic in base 10.

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

It is not an unprimeable number, because it can be changed into a prime (4011456541109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 123246282 + ... + 123278825.

Almost surely, 2^{4011456541104} is an apocalyptic number.

It is an amenable number.

4011456541104 is an abundant number, since it is smaller than the sum of its proper divisors (7314399970632).

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

4011456541104 is a wasteful number, since it uses less digits than its factorization.

4011456541104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246525234 (or 246525225 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 4011456541104 in words is "four trillion, eleven billion, four hundred fifty-six million, five hundred forty-one thousand, one hundred four".