410134412100 has 144 divisors (see below), whose sum is σ = 1356379186176. Its totient is φ = 93731088000.

The previous prime is 410134412027. The next prime is 410134412119. The reversal of 410134412100 is 1214431014.

It is a super-2 number, since 2×410134412100² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22315915 + ... + 22334285.

It is an arithmetic number, because the mean of its divisors is an integer number (9419299904).

Almost surely, 2^410134412100 is an apocalyptic number.

It is an amenable number.

410134412100 is an abundant number, since it is smaller than the sum of its proper divisors (946244774076).

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

410134412100 is a wasteful number, since it uses less digits than its factorization.

410134412100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29026 (or 29019 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 410134412100 its reverse (1214431014), we get a palindrome (411348843114).

The spelling of 410134412100 in words is "four hundred ten billion, one hundred thirty-four million, four hundred twelve thousand, one hundred".