40007221631417 has 2 divisors, whose sum is σ = 40007221631418. Its totient is φ = 40007221631416.

The previous prime is 40007221631357. The next prime is 40007221631431. The reversal of 40007221631417 is 71413612270004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33089001308416 + 6918220323001 = 5752304^2 + 2630251^2 .

It is a cyclic number.

It is not a de Polignac number, because 40007221631417 - 2¹⁶ = 40007221565881 is a prime.

It is not a weakly prime, because it can be changed into another prime (40007221630417) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20003610815708 + 20003610815709.

It is an arithmetic number, because the mean of its divisors is an integer number (20003610815709).

Almost surely, 2^{40007221631417} is an apocalyptic number.

It is an amenable number.

40007221631417 is a deficient number, since it is larger than the sum of its proper divisors (1).

40007221631417 is an equidigital number, since it uses as much as digits as its factorization.

40007221631417 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 56448, while the sum is 38.

The spelling of 40007221631417 in words is "forty trillion, seven billion, two hundred twenty-one million, six hundred thirty-one thousand, four hundred seventeen".