411020323440 has 320 divisors, whose sum is σ = 1318338478080. Its totient is φ = 105880642560.

The previous prime is 411020323421. The next prime is 411020323463. The reversal of 411020323440 is 44323020114.

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

It is a self number, because there is not a number n which added to its sum of digits gives 411020323440.

It is a congruent number.

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, 465481239 + ... + 465482121.

It is an arithmetic number, because the mean of its divisors is an integer number (4119807744).

Almost surely, 2^411020323440 is an apocalyptic number.

411020323440 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 411020323440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659169239040).

411020323440 is an abundant number, since it is smaller than the sum of its proper divisors (907318154640).

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

411020323440 is a wasteful number, since it uses less digits than its factorization.

411020323440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1492 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 411020323440 its reverse (44323020114), we get a palindrome (455343343554).

The spelling of 411020323440 in words is "four hundred eleven billion, twenty million, three hundred twenty-three thousand, four hundred forty".