402002120033 has 16 divisors (see below), whose sum is σ = 410496797376. Its totient is φ = 393542036160.

The previous prime is 402002120011. The next prime is 402002120057. The reversal of 402002120033 is 330021200204.

It is a cyclic number.

It is not a de Polignac number, because 402002120033 - 2²² = 401997925729 is a prime.

It is a super-2 number, since 2×402002120033² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 402002119993 and 402002120020.

It is not an unprimeable number, because it can be changed into a prime (402002120063) 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 15 ways as a sum of consecutive naturals, for example, 65996318 + ... + 66002408.

It is an arithmetic number, because the mean of its divisors is an integer number (25656049836).

Almost surely, 2^402002120033 is an apocalyptic number.

It is an amenable number.

402002120033 is a deficient number, since it is larger than the sum of its proper divisors (8494677343).

402002120033 is a wasteful number, since it uses less digits than its factorization.

402002120033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8704.

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 402002120033 its reverse (330021200204), we get a palindrome (732023320237).

The spelling of 402002120033 in words is "four hundred two billion, two million, one hundred twenty thousand, thirty-three".