400434243444221 has 48 divisors (see below), whose sum is σ = 487637001584640. Its totient is φ = 327472680094560.

The previous prime is 400434243444217. The next prime is 400434243444239. The reversal of 400434243444221 is 122444342434004.

It is not a de Polignac number, because 400434243444221 - 2² = 400434243444217 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400434243444211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79517840 + ... + 84403526.

It is an arithmetic number, because the mean of its divisors is an integer number (10159104199680).

Almost surely, 2^{400434243444221} is an apocalyptic number.

It is an amenable number.

400434243444221 is a deficient number, since it is larger than the sum of its proper divisors (87202758140419).

400434243444221 is a wasteful number, since it uses less digits than its factorization.

400434243444221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4886494 (or 4886487 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 41.

Adding to 400434243444221 its reverse (122444342434004), we get a palindrome (522878585878225).

The spelling of 400434243444221 in words is "four hundred trillion, four hundred thirty-four billion, two hundred forty-three million, four hundred forty-four thousand, two hundred twenty-one".