411412311311520 has 192 divisors, whose sum is σ = 1348494279068160. Its totient is φ = 105349738610688.

The previous prime is 411412311311377. The next prime is 411412311311531. The reversal of 411412311311520 is 25113113214114.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 170845465 + ... + 173236824.

It is an arithmetic number, because the mean of its divisors is an integer number (7023407703480).

Almost surely, 2^{411412311311520} is an apocalyptic number.

411412311311520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

411412311311520 is an abundant number, since it is smaller than the sum of its proper divisors (937081967756640).

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

411412311311520 is a wasteful number, since it uses less digits than its factorization.

411412311311520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344082407 (or 344082399 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

Adding to 411412311311520 its reverse (25113113214114), we get a palindrome (436525424525634).

The spelling of 411412311311520 in words is "four hundred eleven trillion, four hundred twelve billion, three hundred eleven million, three hundred eleven thousand, five hundred twenty".