413402121132 has 192 divisors, whose sum is σ = 1300561920000. Its totient is φ = 98701989120.

The previous prime is 413402121107. The next prime is 413402121151. The reversal of 413402121132 is 231121204314.

It is a super-2 number, since 2×413402121132² (a number of 24 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 2798869 + ... + 2942867.

It is an arithmetic number, because the mean of its divisors is an integer number (6773760000).

Almost surely, 2^413402121132 is an apocalyptic number.

413402121132 is a gapful number since it is divisible by the number (42) 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 413402121132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650280960000).

413402121132 is an abundant number, since it is smaller than the sum of its proper divisors (887159798868).

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

413402121132 is a wasteful number, since it uses less digits than its factorization.

413402121132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144276 (or 144274 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 413402121132 its reverse (231121204314), we get a palindrome (644523325446).

The spelling of 413402121132 in words is "four hundred thirteen billion, four hundred two million, one hundred twenty-one thousand, one hundred thirty-two".