2142401311040 has 56 divisors (see below), whose sum is σ = 5116731637992. Its totient is φ = 854417571840.

The previous prime is 2142401311021. The next prime is 2142401311051. The reversal of 2142401311040 is 401131042412.

It can be written as a sum of positive squares in 4 ways, for example, as 504963729664 + 1637437581376 = 710608^2 + 1279624^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2142401310997 and 2142401311015.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 9825401 + ... + 10041080.

Almost surely, 2^{2142401311040} is an apocalyptic number.

2142401311040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2142401311040 is an abundant number, since it is smaller than the sum of its proper divisors (2974330326952).

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

2142401311040 is a wasteful number, since it uses less digits than its factorization.

2142401311040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19866835 (or 19866825 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 2142401311040 its reverse (401131042412), we get a palindrome (2543532353452).

The spelling of 2142401311040 in words is "two trillion, one hundred forty-two billion, four hundred one million, three hundred eleven thousand, forty".