411105414400 has 108 divisors (see below), whose sum is σ = 1017871375500. Its totient is φ = 164390256640.

The previous prime is 411105414397. The next prime is 411105414493. The reversal of 411105414400 is 4414501114.

It can be written as a sum of positive squares in 6 ways, for example, as 104437556224 + 306667858176 = 323168^2 + 553776^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25137426 + ... + 25153774.

Almost surely, 2^411105414400 is an apocalyptic number.

411105414400 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 411105414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508935687750).

411105414400 is an abundant number, since it is smaller than the sum of its proper divisors (606765961100).

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

411105414400 is a wasteful number, since it uses less digits than its factorization.

411105414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20304 (or 20285 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

Adding to 411105414400 its reverse (4414501114), we get a palindrome (415519915514).

The spelling of 411105414400 in words is "four hundred eleven billion, one hundred five million, four hundred fourteen thousand, four hundred".