413410012000 has 192 divisors, whose sum is σ = 1077434519616. Its totient is φ = 155356569600.

The previous prime is 413410011919. The next prime is 413410012003. The reversal of 413410012000 is 210014314.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413410012003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39910822 + ... + 39921178.

It is an arithmetic number, because the mean of its divisors is an integer number (5611638123).

Almost surely, 2^413410012000 is an apocalyptic number.

413410012000 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 413410012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538717259808).

413410012000 is an abundant number, since it is smaller than the sum of its proper divisors (664024507616).

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

413410012000 is a wasteful number, since it uses less digits than its factorization.

413410012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10986 (or 10968 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 413410012000 its reverse (210014314), we get a palindrome (413620026314).

The spelling of 413410012000 in words is "four hundred thirteen billion, four hundred ten million, twelve thousand".