410421440000 has 400 divisors, whose sum is σ = 1204005282480. Its totient is φ = 137748480000.

The previous prime is 410421439997. The next prime is 410421440017. The reversal of 410421440000 is 44124014.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 45755516 + ... + 45764484.

Almost surely, 2^410421440000 is an apocalyptic number.

410421440000 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 410421440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602002641240).

410421440000 is an abundant number, since it is smaller than the sum of its proper divisors (793583842480).

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

410421440000 is an equidigital number, since it uses as much as digits as its factorization.

410421440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9031 (or 9000 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 410421440000 its reverse (44124014), we get a palindrome (410465564014).

The spelling of 410421440000 in words is "four hundred ten billion, four hundred twenty-one million, four hundred forty thousand".