2102040440040 has 128 divisors (see below), whose sum is σ = 6362798832000. Its totient is φ = 555523138560.

The previous prime is 2102040440039. The next prime is 2102040440047. The reversal of 2102040440040 is 400440402012.

It is a junction number, because it is equal to n+sod(n) for n = 2102040439989 and 2102040440016.

It is not an unprimeable number, because it can be changed into a prime (2102040440047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7788150 + ... + 8053530.

It is an arithmetic number, because the mean of its divisors is an integer number (49709365875).

Almost surely, 2^{2102040440040} is an apocalyptic number.

2102040440040 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 2102040440040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3181399416000).

2102040440040 is an abundant number, since it is smaller than the sum of its proper divisors (4260758391960).

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

2102040440040 is a wasteful number, since it uses less digits than its factorization.

2102040440040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265987 (or 265983 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 2102040440040 its reverse (400440402012), we get a palindrome (2502480842052).

The spelling of 2102040440040 in words is "two trillion, one hundred two billion, forty million, four hundred forty thousand, forty".