413123120000 has 160 divisors (see below), whose sum is σ = 1088944488720. Its totient is φ = 155528192000.

The previous prime is 413123119991. The next prime is 413123120023. The reversal of 413123120000 is 21321314.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1208117 + ... + 1511883.

Almost surely, 2^413123120000 is an apocalyptic number.

413123120000 is a gapful number since it is divisible by the number (40) 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 413123120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544472244360).

413123120000 is an abundant number, since it is smaller than the sum of its proper divisors (675821368720).

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

413123120000 is an equidigital number, since it uses as much as digits as its factorization.

413123120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303818 (or 303791 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 413123120000 its reverse (21321314), we get a palindrome (413144441314).

The spelling of 413123120000 in words is "four hundred thirteen billion, one hundred twenty-three million, one hundred twenty thousand".