413203444203400 has 192 divisors, whose sum is σ = 996893749716480. Its totient is φ = 159110406604800.

The previous prime is 413203444203367. The next prime is 413203444203421. The reversal of 413203444203400 is 4302444302314.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7996479964 + ... + 7996531636.

It is an arithmetic number, because the mean of its divisors is an integer number (5192154946440).

Almost surely, 2^{413203444203400} is an apocalyptic number.

413203444203400 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 413203444203400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498446874858240).

413203444203400 is an abundant number, since it is smaller than the sum of its proper divisors (583690305513080).

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

413203444203400 is a wasteful number, since it uses less digits than its factorization.

413203444203400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58464 (or 58455 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 34.

Adding to 413203444203400 its reverse (4302444302314), we get a palindrome (417505888505714).

The spelling of 413203444203400 in words is "four hundred thirteen trillion, two hundred three billion, four hundred forty-four million, two hundred three thousand, four hundred".