405542382993 has 32 divisors (see below), whose sum is σ = 689917939200. Its totient is φ = 232847298000.

The previous prime is 405542382991. The next prime is 405542382997. The reversal of 405542382993 is 399283245504.

405542382993 is a `hidden beast` number, since 4 + 0 + 5 + 542 + 3 + 8 + 2 + 9 + 93 = 666.

It is not a de Polignac number, because 405542382993 - 2¹ = 405542382991 is a prime.

It is not an unprimeable number, because it can be changed into a prime (405542382991) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35927583 + ... + 35938868.

It is an arithmetic number, because the mean of its divisors is an integer number (21559935600).

Almost surely, 2^405542382993 is an apocalyptic number.

It is an amenable number.

405542382993 is a deficient number, since it is larger than the sum of its proper divisors (284375556207).

405542382993 is a wasteful number, since it uses less digits than its factorization.

405542382993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71866490 (or 71866484 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 405542382993 in words is "four hundred five billion, five hundred forty-two million, three hundred eighty-two thousand, nine hundred ninety-three".