401114433401055 has 64 divisors (see below), whose sum is σ = 777930931008000. Its totient is φ = 194476717820160.

The previous prime is 401114433401041. The next prime is 401114433401083. The reversal of 401114433401055 is 550104334411104.

401114433401055 is a `hidden beast` number, since 4 + 0 + 1 + 114 + 433 + 4 + 0 + 105 + 5 = 666.

It is not a de Polignac number, because 401114433401055 - 2¹³ = 401114433392863 is a prime.

It is a super-2 number, since 2×401114433401055² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 95507347 + ... + 99618683.

It is an arithmetic number, because the mean of its divisors is an integer number (12155170797000).

Almost surely, 2^{401114433401055} is an apocalyptic number.

401114433401055 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

401114433401055 is a deficient number, since it is larger than the sum of its proper divisors (376816497606945).

401114433401055 is a wasteful number, since it uses less digits than its factorization.

401114433401055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4177061 (or 4177055 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 401114433401055 its reverse (550104334411104), we get a palindrome (951218767812159).

The spelling of 401114433401055 in words is "four hundred one trillion, one hundred fourteen billion, four hundred thirty-three million, four hundred one thousand, fifty-five".