4004111012424 has 64 divisors (see below), whose sum is σ = 10281924206400. Its totient is φ = 1298491824384.

The previous prime is 4004111012411. The next prime is 4004111012449. The reversal of 4004111012424 is 4242101114004.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 4004111012394 and 4004111012403.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 8241582 + ... + 8713890.

It is an arithmetic number, because the mean of its divisors is an integer number (160655065725).

Almost surely, 2^{4004111012424} is an apocalyptic number.

It is an amenable number.

4004111012424 is an abundant number, since it is smaller than the sum of its proper divisors (6277813193976).

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

4004111012424 is a wasteful number, since it uses less digits than its factorization.

4004111012424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481902 (or 481898 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 4004111012424 its reverse (4242101114004), we get a palindrome (8246212126428).

The spelling of 4004111012424 in words is "four trillion, four billion, one hundred eleven million, twelve thousand, four hundred twenty-four".