400334344001 has 2 divisors, whose sum is σ = 400334344002. Its totient is φ = 400334344000.

The previous prime is 400334343973. The next prime is 400334344009. The reversal of 400334344001 is 100443433004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 364150695601 + 36183648400 = 603449^2 + 190220^2 .

It is a cyclic number.

It is not a de Polignac number, because 400334344001 - 2³⁴ = 383154474817 is a prime.

It is a super-2 number, since 2×400334344001² (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (400334344009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200167172000 + 200167172001.

It is an arithmetic number, because the mean of its divisors is an integer number (200167172001).

Almost surely, 2^400334344001 is an apocalyptic number.

It is an amenable number.

400334344001 is a deficient number, since it is larger than the sum of its proper divisors (1).

400334344001 is an equidigital number, since it uses as much as digits as its factorization.

400334344001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 400334344001 its reverse (100443433004), we get a palindrome (500777777005).

The spelling of 400334344001 in words is "four hundred billion, three hundred thirty-four million, three hundred forty-four thousand, one".