4004144001157 has 8 divisors (see below), whose sum is σ = 4309184866392. Its totient is φ = 3706825689600.

The previous prime is 4004144001149. The next prime is 4004144001163. The reversal of 4004144001157 is 7511004414004.

It can be written as a sum of positive squares in 4 ways, for example, as 366907621441 + 3637236379716 = 605729^2 + 1907154^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 4004144001157 - 2³ = 4004144001149 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004144001197) 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 7 ways as a sum of consecutive naturals, for example, 1930637344 + ... + 1930639417.

It is an arithmetic number, because the mean of its divisors is an integer number (538648108299).

Almost surely, 2^{4004144001157} is an apocalyptic number.

It is an amenable number.

4004144001157 is a deficient number, since it is larger than the sum of its proper divisors (305040865235).

4004144001157 is a wasteful number, since it uses less digits than its factorization.

4004144001157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3861276839.

The product of its (nonzero) digits is 8960, while the sum is 31.

The spelling of 4004144001157 in words is "four trillion, four billion, one hundred forty-four million, one thousand, one hundred fifty-seven".