413340033400 has 384 divisors, whose sum is σ = 1248027264000. Its totient is φ = 123986903040.

The previous prime is 413340033397. The next prime is 413340033427. The reversal of 413340033400 is 4330043314.

It is a super-2 number, since 2×413340033400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17730552 + ... + 17753848.

It is an arithmetic number, because the mean of its divisors is an integer number (3250071000).

Almost surely, 2^413340033400 is an apocalyptic number.

413340033400 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 413340033400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624013632000).

413340033400 is an abundant number, since it is smaller than the sum of its proper divisors (834687230600).

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

413340033400 is a wasteful number, since it uses less digits than its factorization.

413340033400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23391 (or 23382 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 25.

Adding to 413340033400 its reverse (4330043314), we get a palindrome (417670076714).

The spelling of 413340033400 in words is "four hundred thirteen billion, three hundred forty million, thirty-three thousand, four hundred".