401222031004757 has 2 divisors, whose sum is σ = 401222031004758. Its totient is φ = 401222031004756.

The previous prime is 401222031004657. The next prime is 401222031004759. The reversal of 401222031004757 is 757400130222104.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 250886624038801 + 150335406965956 = 15839401^2 + 12261134^2 .

It is a cyclic number.

It is not a de Polignac number, because 401222031004757 - 2²² = 401222026810453 is a prime.

Together with 401222031004759, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 401222031004757.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (401222031004759) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200611015502378 + 200611015502379.

It is an arithmetic number, because the mean of its divisors is an integer number (200611015502379).

Almost surely, 2^{401222031004757} is an apocalyptic number.

It is an amenable number.

401222031004757 is a deficient number, since it is larger than the sum of its proper divisors (1).

401222031004757 is an equidigital number, since it uses as much as digits as its factorization.

401222031004757 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 94080, while the sum is 38.

The spelling of 401222031004757 in words is "four hundred one trillion, two hundred twenty-two billion, thirty-one million, four thousand, seven hundred fifty-seven".