1683131202040 has 64 divisors (see below), whose sum is σ = 3953912097600. Its totient is φ = 643620037632.

The previous prime is 1683131201951. The next prime is 1683131202047. The reversal of 1683131202040 is 402021313861.

It is a junction number, because it is equal to n+sod(n) for n = 1683131201993 and 1683131202011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1683131202047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1134564 + ... + 2157196.

It is an arithmetic number, because the mean of its divisors is an integer number (61779876525).

Almost surely, 2^{1683131202040} is an apocalyptic number.

1683131202040 is a gapful number since it is divisible by the number (10) 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 1683131202040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1976956048800).

1683131202040 is an abundant number, since it is smaller than the sum of its proper divisors (2270780895560).

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

1683131202040 is a wasteful number, since it uses less digits than its factorization.

1683131202040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024456 (or 1024452 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The spelling of 1683131202040 in words is "one trillion, six hundred eighty-three billion, one hundred thirty-one million, two hundred two thousand, forty".