411009580080 has 160 divisors (see below), whose sum is σ = 1544399723520. Its totient is φ = 99638680320.

The previous prime is 411009580049. The next prime is 411009580123. The reversal of 411009580080 is 80085900114.

411009580080 is a `hidden beast` number, since 411 + 0 + 0 + 95 + 80 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 31 ways as a sum of consecutive naturals, for example, 8625432 + ... + 8672951.

It is an arithmetic number, because the mean of its divisors is an integer number (9652498272).

Almost surely, 2^411009580080 is an apocalyptic number.

411009580080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

411009580080 is an abundant number, since it is smaller than the sum of its proper divisors (1133390143440).

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

411009580080 is a wasteful number, since it uses less digits than its factorization.

411009580080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17298416 (or 17298404 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 411009580080 in words is "four hundred eleven billion, nine million, five hundred eighty thousand, eighty".