4002102244431 has 64 divisors (see below), whose sum is σ = 6156369838080. Its totient is φ = 2566826496000.

The previous prime is 4002102244403. The next prime is 4002102244451. The reversal of 4002102244431 is 1344422012004.

4002102244431 is a `hidden beast` number, since 4 + 0 + 0 + 2 + 1 + 0 + 224 + 4 + 431 = 666.

It is not a de Polignac number, because 4002102244431 - 2⁶ = 4002102244367 is a prime.

It is a super-2 number, since 2×4002102244431² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4002102244395 and 4002102244404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4002102244451) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 104548111 + ... + 104586383.

It is an arithmetic number, because the mean of its divisors is an integer number (96193278720).

Almost surely, 2^{4002102244431} is an apocalyptic number.

4002102244431 is a deficient number, since it is larger than the sum of its proper divisors (2154267593649).

4002102244431 is a wasteful number, since it uses less digits than its factorization.

4002102244431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39045 (or 39039 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 4002102244431 its reverse (1344422012004), we get a palindrome (5346524256435).

The spelling of 4002102244431 in words is "four trillion, two billion, one hundred two million, two hundred forty-four thousand, four hundred thirty-one".