411434430444020 has 384 divisors, whose sum is σ = 981435996979200. Its totient is φ = 144184731955200.

The previous prime is 411434430443999. The next prime is 411434430444049. The reversal of 411434430444020 is 20444034434114.

It is a Harshad number since it is a multiple of its sum of digits (38).

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, 30678871115 + ... + 30678884525.

It is an arithmetic number, because the mean of its divisors is an integer number (2555822908800).

Almost surely, 2^{411434430444020} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 411434430444020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490717998489600).

411434430444020 is an abundant number, since it is smaller than the sum of its proper divisors (570001566535180).

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

411434430444020 is a wasteful number, since it uses less digits than its factorization.

411434430444020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14759 (or 14757 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 38.

Adding to 411434430444020 its reverse (20444034434114), we get a palindrome (431878464878134).

The spelling of 411434430444020 in words is "four hundred eleven trillion, four hundred thirty-four billion, four hundred thirty million, four hundred forty-four thousand, twenty".