4004518154004 has 36 divisors (see below), whose sum is σ = 10717975060884. Its totient is φ = 1256319420672.

The previous prime is 4004518153997. The next prime is 4004518154017.

4004518154004 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 1111464147600 + 2893054006404 = 1054260^2 + 1700898^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×4004518154004² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4004518154004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3271664547 + ... + 3271665770.

It is an arithmetic number, because the mean of its divisors is an integer number (297721529469).

Almost surely, 2^{4004518154004} is an apocalyptic number.

It is an amenable number.

4004518154004 is an abundant number, since it is smaller than the sum of its proper divisors (6713456906880).

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

4004518154004 is a wasteful number, since it uses less digits than its factorization.

4004518154004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6543330344 (or 6543330339 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The spelling of 4004518154004 in words is "four trillion, four billion, five hundred eighteen million, one hundred fifty-four thousand, four".