413040113400 has 192 divisors, whose sum is σ = 1358000939520. Its totient is φ = 103627814400.

The previous prime is 413040113309. The next prime is 413040113401. The reversal of 413040113400 is 4311040314.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413040113401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 596469 + ... + 1087131.

It is an arithmetic number, because the mean of its divisors is an integer number (7072921560).

Almost surely, 2^413040113400 is an apocalyptic number.

413040113400 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 413040113400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679000469760).

413040113400 is an abundant number, since it is smaller than the sum of its proper divisors (944960826120).

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

413040113400 is a wasteful number, since it uses less digits than its factorization.

413040113400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490766 (or 490757 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 413040113400 its reverse (4311040314), we get a palindrome (417351153714).

The spelling of 413040113400 in words is "four hundred thirteen billion, forty million, one hundred thirteen thousand, four hundred".