413749600000 has 216 divisors, whose sum is σ = 1126155952656. Its totient is φ = 150451200000.

The previous prime is 413749599973. The next prime is 413749600007. The reversal of 413749600000 is 6947314.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413749600007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8776492 + ... + 8823508.

It is an arithmetic number, because the mean of its divisors is an integer number (5213684966).

Almost surely, 2^413749600000 is an apocalyptic number.

413749600000 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 413749600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563077976328).

413749600000 is an abundant number, since it is smaller than the sum of its proper divisors (712406352656).

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

413749600000 is an frugal number, since it uses more digits than its factorization.

413749600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47069 (or 47035 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The spelling of 413749600000 in words is "four hundred thirteen billion, seven hundred forty-nine million, six hundred thousand".