410024412096 has 224 divisors, whose sum is σ = 1223890311168. Its totient is φ = 120202199040.

The previous prime is 410024411999. The next prime is 410024412103. The reversal of 410024412096 is 690214420014.

It is a super-2 number, since 2×410024412096² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14739961 + ... + 14767751.

It is an arithmetic number, because the mean of its divisors is an integer number (5463796032).

Almost surely, 2^410024412096 is an apocalyptic number.

410024412096 is a gapful number since it is divisible by the number (46) 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 410024412096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611945155584).

410024412096 is an abundant number, since it is smaller than the sum of its proper divisors (813865899072).

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

410024412096 is a wasteful number, since it uses less digits than its factorization.

410024412096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28099 (or 28089 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 410024412096 in words is "four hundred ten billion, twenty-four million, four hundred twelve thousand, ninety-six".