413032243200 has 336 divisors, whose sum is σ = 1402663966320. Its totient is φ = 107159224320.

The previous prime is 413032243199. The next prime is 413032243231. The reversal of 413032243200 is 2342230314.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22723716 + ... + 22741884.

Almost surely, 2^413032243200 is an apocalyptic number.

413032243200 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 413032243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701331983160).

413032243200 is an abundant number, since it is smaller than the sum of its proper divisors (989631723120).

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

413032243200 is a wasteful number, since it uses less digits than its factorization.

413032243200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18245 (or 18216 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 413032243200 its reverse (2342230314), we get a palindrome (415374473514).

The spelling of 413032243200 in words is "four hundred thirteen billion, thirty-two million, two hundred forty-three thousand, two hundred".