405763566641 has 32 divisors (see below), whose sum is σ = 430940590080. Its totient is φ = 381546547200.

The previous prime is 405763566631. The next prime is 405763566643. The reversal of 405763566641 is 146665367504.

It is a cyclic number.

It is not a de Polignac number, because 405763566641 - 2¹⁸ = 405763304497 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (405763566643) 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, 42992375 + ... + 43001811.

It is an arithmetic number, because the mean of its divisors is an integer number (13466893440).

Almost surely, 2^405763566641 is an apocalyptic number.

It is an amenable number.

405763566641 is a deficient number, since it is larger than the sum of its proper divisors (25177023439).

405763566641 is a wasteful number, since it uses less digits than its factorization.

405763566641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9825.

The product of its (nonzero) digits is 10886400, while the sum is 53.

The spelling of 405763566641 in words is "four hundred five billion, seven hundred sixty-three million, five hundred sixty-six thousand, six hundred forty-one".