4001205126404 has 48 divisors (see below), whose sum is σ = 7204240860096. Its totient is φ = 1943046403200.

The previous prime is 4001205126397. The next prime is 4001205126409. The reversal of 4001205126404 is 4046215021004.

It is not an unprimeable number, because it can be changed into a prime (4001205126409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 433918514 + ... + 433927734.

It is an arithmetic number, because the mean of its divisors is an integer number (150088351252).

Almost surely, 2^{4001205126404} is an apocalyptic number.

It is an amenable number.

4001205126404 is a deficient number, since it is larger than the sum of its proper divisors (3203035733692).

4001205126404 is a wasteful number, since it uses less digits than its factorization.

4001205126404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14196 (or 14194 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The spelling of 4001205126404 in words is "four trillion, one billion, two hundred five million, one hundred twenty-six thousand, four hundred four".