410420011302 has 288 divisors, whose sum is σ = 1137652439040. Its totient is φ = 106175301120.

The previous prime is 410420011277. The next prime is 410420011321. The reversal of 410420011302 is 203110024014.

410420011302 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 41573427 + ... + 41583297.

It is an arithmetic number, because the mean of its divisors is an integer number (3950182080).

Almost surely, 2^410420011302 is an apocalyptic number.

410420011302 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 410420011302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568826219520).

410420011302 is an abundant number, since it is smaller than the sum of its proper divisors (727232427738).

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

410420011302 is a wasteful number, since it uses less digits than its factorization.

410420011302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10016 (or 10006 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 410420011302 its reverse (203110024014), we get a palindrome (613530035316).

The spelling of 410420011302 in words is "four hundred ten billion, four hundred twenty million, eleven thousand, three hundred two".