4003136842977 has 6 divisors (see below), whose sum is σ = 5782308773202. Its totient is φ = 2668757895312.

The previous prime is 4003136842951. The next prime is 4003136843003. The reversal of 4003136842977 is 7792486313004.

4003136842977 is a `hidden beast` number, since 400 + 3 + 136 + 84 + 29 + 7 + 7 = 666.

It is an interprime number because it is at equal distance from previous prime (4003136842951) and next prime (4003136843003).

It can be written as a sum of positive squares in only one way, i.e., 2596123340001 + 1407013502976 = 1611249^2 + 1186176^2 .

It is not a de Polignac number, because 4003136842977 - 2⁸ = 4003136842721 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4003136846977) 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 5 ways as a sum of consecutive naturals, for example, 222396491268 + ... + 222396491285.

It is an arithmetic number, because the mean of its divisors is an integer number (963718128867).

Almost surely, 2^{4003136842977} is an apocalyptic number.

It is an amenable number.

4003136842977 is a deficient number, since it is larger than the sum of its proper divisors (1779171930225).

4003136842977 is a wasteful number, since it uses less digits than its factorization.

4003136842977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444792982559 (or 444792982556 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 4003136842977 in words is "four trillion, three billion, one hundred thirty-six million, eight hundred forty-two thousand, nine hundred seventy-seven".