2013410420420 has 72 divisors (see below), whose sum is σ = 4919173187544. Its totient is φ = 690214017024.

The previous prime is 2013410420393. The next prime is 2013410420429. The reversal of 2013410420420 is 240240143102.

It can be written as a sum of positive squares in 4 ways, for example, as 142418683456 + 1870991736964 = 377384^2 + 1367842^2 .

It is not an unprimeable number, because it can be changed into a prime (2013410420429) 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, 6926324 + ... + 7211156.

It is an arithmetic number, because the mean of its divisors is an integer number (68321849827).

Almost surely, 2^{2013410420420} is an apocalyptic number.

2013410420420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013410420420 is an abundant number, since it is smaller than the sum of its proper divisors (2905762767124).

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

2013410420420 is a wasteful number, since it uses less digits than its factorization.

2013410420420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292069 (or 292060 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 2013410420420 its reverse (240240143102), we get a palindrome (2253650563522).

The spelling of 2013410420420 in words is "two trillion, thirteen billion, four hundred ten million, four hundred twenty thousand, four hundred twenty".