411017911920 has 1920 divisors, whose sum is σ = 1921796997120. Its totient is φ = 76142592000.

The previous prime is 411017911919. The next prime is 411017911921. The reversal of 411017911920 is 29119710114.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (411017911919) and next prime (411017911921).

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 (411017911921) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1338820407 + ... + 1338820713.

It is an arithmetic number, because the mean of its divisors is an integer number (1000935936).

Almost surely, 2^411017911920 is an apocalyptic number.

411017911920 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 411017911920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960898498560).

411017911920 is an abundant number, since it is smaller than the sum of its proper divisors (1510779085200).

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

411017911920 is a wasteful number, since it uses less digits than its factorization.

411017911920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 36.

The spelling of 411017911920 in words is "four hundred eleven billion, seventeen million, nine hundred eleven thousand, nine hundred twenty".