4002764129005 has 8 divisors (see below), whose sum is σ = 4817570122872. Its totient is φ = 3192709191168.

The previous prime is 4002764128919. The next prime is 4002764129029. The reversal of 4002764129005 is 5009214672004.

It can be written as a sum of positive squares in 4 ways, for example, as 696992889321 + 3305771239684 = 834861^2 + 1818178^2 .

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 4002764129005 - 2¹⁷ = 4002763997933 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1187762152 + ... + 1187765521.

It is an arithmetic number, because the mean of its divisors is an integer number (602196265359).

Almost surely, 2^{4002764129005} is an apocalyptic number.

It is an amenable number.

4002764129005 is a deficient number, since it is larger than the sum of its proper divisors (814805993867).

4002764129005 is a wasteful number, since it uses less digits than its factorization.

4002764129005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2375528015.

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 4002764129005 in words is "four trillion, two billion, seven hundred sixty-four million, one hundred twenty-nine thousand, five".