4002334121031 has 16 divisors (see below), whose sum is σ = 5556219150048. Its totient is φ = 2560469644800.

The previous prime is 4002334121029. The next prime is 4002334121033. The reversal of 4002334121031 is 1301214332004.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4002334121029) and next prime (4002334121033).

It is not a de Polignac number, because 4002334121031 - 2¹ = 4002334121029 is a prime.

It is a super-2 number, since 2×4002334121031² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4002334120992 and 4002334121010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4002334121033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 266708086 + ... + 266723091.

It is an arithmetic number, because the mean of its divisors is an integer number (347263696878).

Almost surely, 2^{4002334121031} is an apocalyptic number.

4002334121031 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

4002334121031 is a deficient number, since it is larger than the sum of its proper divisors (1553885029017).

4002334121031 is a wasteful number, since it uses less digits than its factorization.

4002334121031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533431282.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 4002334121031 its reverse (1301214332004), we get a palindrome (5303548453035).

The spelling of 4002334121031 in words is "four trillion, two billion, three hundred thirty-four million, one hundred twenty-one thousand, thirty-one".