210413134240 has 96 divisors (see below), whose sum is σ = 499437141840. Its totient is φ = 83770368000.

The previous prime is 210413134219. The next prime is 210413134277. The reversal of 210413134240 is 42431314012.

It can be written as a sum of positive squares in 8 ways, for example, as 13770553104 + 196642581136 = 117348^2 + 443444^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63740590 + ... + 63743890.

Almost surely, 2^210413134240 is an apocalyptic number.

210413134240 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 210413134240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249718570920).

210413134240 is an abundant number, since it is smaller than the sum of its proper divisors (289024007600).

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

210413134240 is a wasteful number, since it uses less digits than its factorization.

210413134240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5066 (or 5058 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 210413134240 its reverse (42431314012), we get a palindrome (252844448252).

The spelling of 210413134240 in words is "two hundred ten billion, four hundred thirteen million, one hundred thirty-four thousand, two hundred forty".