42004006045633 has 2 divisors, whose sum is σ = 42004006045634. Its totient is φ = 42004006045632.

The previous prime is 42004006045621. The next prime is 42004006045649. The reversal of 42004006045633 is 33654060040024.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 38412935565489 + 3591070480144 = 6197817^2 + 1895012^2 .

It is a cyclic number.

It is not a de Polignac number, because 42004006045633 - 2²⁹ = 42003469174721 is a prime.

It is a super-2 number, since 2×42004006045633² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42004006045592 and 42004006045601.

It is not a weakly prime, because it can be changed into another prime (42004006045333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21002003022816 + 21002003022817.

It is an arithmetic number, because the mean of its divisors is an integer number (21002003022817).

Almost surely, 2^{42004006045633} is an apocalyptic number.

It is an amenable number.

42004006045633 is a deficient number, since it is larger than the sum of its proper divisors (1).

42004006045633 is an equidigital number, since it uses as much as digits as its factorization.

42004006045633 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 207360, while the sum is 37.

Adding to 42004006045633 its reverse (33654060040024), we get a palindrome (75658066085657).

The spelling of 42004006045633 in words is "forty-two trillion, four billion, six million, forty-five thousand, six hundred thirty-three".