2013042254400 has 126 divisors (see below), whose sum is σ = 7154827524962. Its totient is φ = 536811264000.

The previous prime is 2013042254393. The next prime is 2013042254453. The reversal of 2013042254400 is 44522403102.

2013042254400 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 0 + 4 + 2 + 254 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 979439616 + 2012062814784 = 31296^2 + 1418472^2 .

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 69882901 + ... + 69911700.

Almost surely, 2^{2013042254400} is an apocalyptic number.

2013042254400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013042254400 is an abundant number, since it is smaller than the sum of its proper divisors (5141785270562).

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

2013042254400 is a wasteful number, since it uses less digits than its factorization.

2013042254400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139794629 (or 139794611 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 2013042254400 its reverse (44522403102), we get a palindrome (2057564657502).

The spelling of 2013042254400 in words is "two trillion, thirteen billion, forty-two million, two hundred fifty-four thousand, four hundred".