4011042401104 has 40 divisors (see below), whose sum is σ = 7795636750440. Its totient is φ = 1999271424000.

The previous prime is 4011042401089. The next prime is 4011042401117.

4011042401104 is nontrivially palindromic in base 10.

4011042401104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2959597241104 + 1051445160000 = 1720348^2 + 1025400^2 .

It is a super-2 number, since 2×4011042401104² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10129074 + ... + 10517614.

It is an arithmetic number, because the mean of its divisors is an integer number (194890918761).

Almost surely, 2^{4011042401104} is an apocalyptic number.

It is an amenable number.

4011042401104 is a deficient number, since it is larger than the sum of its proper divisors (3784594349336).

4011042401104 is a wasteful number, since it uses less digits than its factorization.

4011042401104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390559 (or 390553 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The spelling of 4011042401104 in words is "four trillion, eleven billion, forty-two million, four hundred one thousand, one hundred four".