411334103400 has 384 divisors, whose sum is σ = 1450999094400. Its totient is φ = 96273408000.

The previous prime is 411334103381. The next prime is 411334103423. The reversal of 411334103400 is 4301433114.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23150520 + ... + 23168280.

It is an arithmetic number, because the mean of its divisors is an integer number (3778643475).

Almost surely, 2^411334103400 is an apocalyptic number.

411334103400 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 411334103400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725499547200).

411334103400 is an abundant number, since it is smaller than the sum of its proper divisors (1039664991000).

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

411334103400 is a wasteful number, since it uses less digits than its factorization.

411334103400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17842 (or 17811 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 411334103400 its reverse (4301433114), we get a palindrome (415635536514).

The spelling of 411334103400 in words is "four hundred eleven billion, three hundred thirty-four million, one hundred three thousand, four hundred".