4004102137851 has 48 divisors (see below), whose sum is σ = 5884284177408. Its totient is φ = 2623378752000.

The previous prime is 4004102137817. The next prime is 4004102137853. The reversal of 4004102137851 is 1587312014004.

4004102137851 is a `hidden beast` number, since 400 + 41 + 0 + 2 + 137 + 85 + 1 = 666.

4004102137851 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2^k-4004102137851 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4004102137853) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 518192350 + ... + 518200076.

It is an arithmetic number, because the mean of its divisors is an integer number (122589253696).

Almost surely, 2^{4004102137851} is an apocalyptic number.

4004102137851 is a deficient number, since it is larger than the sum of its proper divisors (1880182039557).

4004102137851 is a wasteful number, since it uses less digits than its factorization.

4004102137851 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11912 (or 11909 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 4004102137851 in words is "four trillion, four billion, one hundred two million, one hundred thirty-seven thousand, eight hundred fifty-one".