411285980160 has 704 divisors, whose sum is σ = 1604481177600. Its totient is φ = 99083059200.

The previous prime is 411285980153. The next prime is 411285980213. The reversal of 411285980160 is 61089582114.

It is a happy number.

411285980160 is a `hidden beast` number, since 41 + 1 + 2 + 8 + 598 + 0 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 272193805 + ... + 272195315.

Almost surely, 2^411285980160 is an apocalyptic number.

411285980160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 411285980160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802240588800).

411285980160 is an abundant number, since it is smaller than the sum of its proper divisors (1193195197440).

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

411285980160 is a wasteful number, since it uses less digits than its factorization.

411285980160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1735 (or 1711 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 411285980160 in words is "four hundred eleven billion, two hundred eighty-five million, nine hundred eighty thousand, one hundred sixty".