411413412120 has 512 divisors, whose sum is σ = 1351531008000. Its totient is φ = 99863193600.

The previous prime is 411413412103. The next prime is 411413412181. The reversal of 411413412120 is 21214314114.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1453757499 + ... + 1453757781.

It is an arithmetic number, because the mean of its divisors is an integer number (2639709000).

Almost surely, 2^411413412120 is an apocalyptic number.

411413412120 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 411413412120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675765504000).

411413412120 is an abundant number, since it is smaller than the sum of its proper divisors (940117595880).

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

411413412120 is a wasteful number, since it uses less digits than its factorization.

411413412120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 411413412120 its reverse (21214314114), we get a palindrome (432627726234).

The spelling of 411413412120 in words is "four hundred eleven billion, four hundred thirteen million, four hundred twelve thousand, one hundred twenty".