410401424004 has 96 divisors (see below), whose sum is σ = 1127955677184. Its totient is φ = 114497685120.

The previous prime is 410401423987. The next prime is 410401424021. The reversal of 410401424004 is 400424104014.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (410401423987) and next prime (410401424021).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 345007 + ... + 969449.

It is an arithmetic number, because the mean of its divisors is an integer number (11749538304).

Almost surely, 2^410401424004 is an apocalyptic number.

410401424004 is a gapful number since it is divisible by the number (44) 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 410401424004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563977838592).

410401424004 is an abundant number, since it is smaller than the sum of its proper divisors (717554253180).

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

410401424004 is a wasteful number, since it uses less digits than its factorization.

410401424004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624857 (or 624855 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 410401424004 its reverse (400424104014), we get a palindrome (810825528018).

The spelling of 410401424004 in words is "four hundred ten billion, four hundred one million, four hundred twenty-four thousand, four".