4002145322241 has 32 divisors (see below), whose sum is σ = 6232987324800. Its totient is φ = 2257213460480.

The previous prime is 4002145322213. The next prime is 4002145322269. The reversal of 4002145322241 is 1422235412004.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4002145322213) and next prime (4002145322269).

It is not a de Polignac number, because 4002145322241 - 2¹⁵ = 4002145289473 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4002145322199 and 4002145322208.

It is not an unprimeable number, because it can be changed into a prime (4002145327241) 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, 40028436 + ... + 40128293.

It is an arithmetic number, because the mean of its divisors is an integer number (194780853900).

Almost surely, 2^{4002145322241} is an apocalyptic number.

It is an amenable number.

4002145322241 is a deficient number, since it is larger than the sum of its proper divisors (2230842002559).

4002145322241 is a wasteful number, since it uses less digits than its factorization.

4002145322241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80156849.

The product of its (nonzero) digits is 15360, while the sum is 30.

The spelling of 4002145322241 in words is "four trillion, two billion, one hundred forty-five million, three hundred twenty-two thousand, two hundred forty-one".