406581288476720 has 80 divisors (see below), whose sum is σ = 1081679975104320. Its totient is φ = 139226988122112.

The previous prime is 406581288476719. The next prime is 406581288476789. The reversal of 406581288476720 is 27674882185604.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 448272557 + ... + 449178636.

It is an arithmetic number, because the mean of its divisors is an integer number (13520999688804).

Almost surely, 2^{406581288476720} is an apocalyptic number.

406581288476720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

406581288476720 is an abundant number, since it is smaller than the sum of its proper divisors (675098686627600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

406581288476720 is a wasteful number, since it uses less digits than its factorization.

406581288476720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897452022 (or 897452016 counting only the distinct ones).

The product of its (nonzero) digits is 289013760, while the sum is 68.

The spelling of 406581288476720 in words is "four hundred six trillion, five hundred eighty-one billion, two hundred eighty-eight million, four hundred seventy-six thousand, seven hundred twenty".