4002724816011 has 24 divisors (see below), whose sum is σ = 5870505897984. Its totient is φ = 2627536071600.

The previous prime is 4002724816009. The next prime is 4002724816037. The reversal of 4002724816011 is 1106184272004.

It is a happy number.

4002724816011 is a `hidden beast` number, since 4 + 0 + 0 + 2 + 7 + 2 + 48 + 1 + 601 + 1 = 666.

It is not a de Polignac number, because 4002724816011 - 2¹ = 4002724816009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4002724812011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5910 + ... + 2829396.

It is an arithmetic number, because the mean of its divisors is an integer number (244604412416).

Almost surely, 2^{4002724816011} is an apocalyptic number.

4002724816011 is a deficient number, since it is larger than the sum of its proper divisors (1867781081973).

4002724816011 is a wasteful number, since it uses less digits than its factorization.

4002724816011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2825911 (or 2825908 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 4002724816011 in words is "four trillion, two billion, seven hundred twenty-four million, eight hundred sixteen thousand, eleven".