411609005280 has 144 divisors (see below), whose sum is σ = 1532308128624. Its totient is φ = 99783997440.

The previous prime is 411609005251. The next prime is 411609005281. The reversal of 411609005280 is 82500906114.

411609005280 is a `hidden beast` number, since 41 + 1 + 6 + 0 + 90 + 0 + 528 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411609005281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12976869 + ... + 13008548.

It is an arithmetic number, because the mean of its divisors is an integer number (10641028671).

Almost surely, 2^411609005280 is an apocalyptic number.

411609005280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

411609005280 is an abundant number, since it is smaller than the sum of its proper divisors (1120699123344).

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

411609005280 is a wasteful number, since it uses less digits than its factorization.

411609005280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25985449 (or 25985438 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 411609005280 in words is "four hundred eleven billion, six hundred nine million, five thousand, two hundred eighty".