413110112024000 has 224 divisors, whose sum is σ = 1025320490376000. Its totient is φ = 164880230400000.

The previous prime is 413110112023909. The next prime is 413110112024009. The reversal of 413110112024000 is 420211011314.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413110112024009) 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, 35931986252 + ... + 35931997748.

It is an arithmetic number, because the mean of its divisors is an integer number (4577323617750).

Almost surely, 2^{413110112024000} is an apocalyptic number.

413110112024000 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 413110112024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512660245188000).

413110112024000 is an abundant number, since it is smaller than the sum of its proper divisors (612210378352000).

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

413110112024000 is a wasteful number, since it uses less digits than its factorization.

413110112024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21024 (or 21004 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 413110112024000 its reverse (420211011314), we get a palindrome (413530323035314).

The spelling of 413110112024000 in words is "four hundred thirteen trillion, one hundred ten billion, one hundred twelve million, twenty-four thousand".