213413404450440 has 256 divisors, whose sum is σ = 693840810009600. Its totient is φ = 52338050601984.

The previous prime is 213413404450429. The next prime is 213413404450453. The reversal of 213413404450440 is 44054404314312.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9303222 + ... + 22657818.

It is an arithmetic number, because the mean of its divisors is an integer number (2710315664100).

Almost surely, 2^{213413404450440} is an apocalyptic number.

213413404450440 is a gapful number since it is divisible by the number (20) 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 213413404450440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346920405004800).

213413404450440 is an abundant number, since it is smaller than the sum of its proper divisors (480427405559160).

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

213413404450440 is a wasteful number, since it uses less digits than its factorization.

213413404450440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13354836 (or 13354832 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 39.

Adding to 213413404450440 its reverse (44054404314312), we get a palindrome (257467808764752).

The spelling of 213413404450440 in words is "two hundred thirteen trillion, four hundred thirteen billion, four hundred four million, four hundred fifty thousand, four hundred forty".