413240042400 has 144 divisors (see below), whose sum is σ = 1345305332448. Its totient is φ = 110180224000.

The previous prime is 413240042389. The next prime is 413240042407. The reversal of 413240042400 is 4240042314.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (413240042407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25866415 + ... + 25882385.

It is an arithmetic number, because the mean of its divisors is an integer number (9342398142).

Almost surely, 2^413240042400 is an apocalyptic number.

413240042400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413240042400 is an abundant number, since it is smaller than the sum of its proper divisors (932065290048).

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

413240042400 is a wasteful number, since it uses less digits than its factorization.

413240042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26775 (or 26762 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 413240042400 its reverse (4240042314), we get a palindrome (417480084714).

The spelling of 413240042400 in words is "four hundred thirteen billion, two hundred forty million, forty-two thousand, four hundred".