40212401002009 has 2 divisors, whose sum is σ = 40212401002010. Its totient is φ = 40212401002008.

The previous prime is 40212401001967. The next prime is 40212401002049. The reversal of 40212401002009 is 90020010421204.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 38235325974784 + 1977075027225 = 6183472^2 + 1406085^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-40212401002009 is a prime.

It is not a weakly prime, because it can be changed into another prime (40212401002049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20106200501004 + 20106200501005.

It is an arithmetic number, because the mean of its divisors is an integer number (20106200501005).

Almost surely, 2^{40212401002009} is an apocalyptic number.

It is an amenable number.

40212401002009 is a deficient number, since it is larger than the sum of its proper divisors (1).

40212401002009 is an equidigital number, since it uses as much as digits as its factorization.

40212401002009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1152, while the sum is 25.

The spelling of 40212401002009 in words is "forty trillion, two hundred twelve billion, four hundred one million, two thousand, nine".