40001002961 has 2 divisors, whose sum is σ = 40001002962. Its totient is φ = 40001002960.

The previous prime is 40001002957. The next prime is 40001003023. The reversal of 40001002961 is 16920010004.

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., 36732022336 + 3268980625 = 191656^2 + 57175^2 .

It is a cyclic number.

It is not a de Polignac number, because 40001002961 - 2² = 40001002957 is a prime.

It is not a weakly prime, because it can be changed into another prime (40001002931) 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 as a sum of consecutive naturals, namely, 20000501480 + 20000501481.

It is an arithmetic number, because the mean of its divisors is an integer number (20000501481).

Almost surely, 2^40001002961 is an apocalyptic number.

It is an amenable number.

40001002961 is a deficient number, since it is larger than the sum of its proper divisors (1).

40001002961 is an equidigital number, since it uses as much as digits as its factorization.

40001002961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 40001002961 its reverse (16920010004), we get a palindrome (56921012965).

The spelling of 40001002961 in words is "forty billion, one million, two thousand, nine hundred sixty-one".