411387760128 has 160 divisors (see below), whose sum is σ = 1161412227360. Its totient is φ = 129170800640.

The previous prime is 411387760123. The next prime is 411387760291. The reversal of 411387760128 is 821067783114.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411387760123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1713676 + ... + 1938932.

It is an arithmetic number, because the mean of its divisors is an integer number (7258826421).

Almost surely, 2^411387760128 is an apocalyptic number.

411387760128 is a gapful number since it is divisible by the number (48) 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 411387760128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580706113680).

411387760128 is an abundant number, since it is smaller than the sum of its proper divisors (750024467232).

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

411387760128 is a wasteful number, since it uses less digits than its factorization.

411387760128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225348 (or 225332 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 48.

The spelling of 411387760128 in words is "four hundred eleven billion, three hundred eighty-seven million, seven hundred sixty thousand, one hundred twenty-eight".