4004736677381 has 32 divisors (see below), whose sum is σ = 4661995046400. Its totient is φ = 3401896380480.

The previous prime is 4004736677377. The next prime is 4004736677437. The reversal of 4004736677381 is 1837766374004.

It is not a de Polignac number, because 4004736677381 - 2² = 4004736677377 is a prime.

It is a super-2 number, since 2×4004736677381² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004736677311) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4730126 + ... + 5512128.

It is an arithmetic number, because the mean of its divisors is an integer number (145687345200).

Almost surely, 2^{4004736677381} is an apocalyptic number.

It is an amenable number.

4004736677381 is a deficient number, since it is larger than the sum of its proper divisors (657258369019).

4004736677381 is a wasteful number, since it uses less digits than its factorization.

4004736677381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782369.

The product of its (nonzero) digits is 14224896, while the sum is 56.

The spelling of 4004736677381 in words is "four trillion, four billion, seven hundred thirty-six million, six hundred seventy-seven thousand, three hundred eighty-one".