20131040333040 has 2560 divisors, whose sum is σ = 87095993499648. Its totient is φ = 3726508032000.

The previous prime is 20131040332993. The next prime is 20131040333083. The reversal of 20131040333040 is 4033304013102.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 20131040333040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 37210795170 + ... + 37210795710.

Almost surely, 2^{20131040333040} is an apocalyptic number.

20131040333040 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 20131040333040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43547996749824).

20131040333040 is an abundant number, since it is smaller than the sum of its proper divisors (66964953166608).

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

20131040333040 is a wasteful number, since it uses less digits than its factorization.

20131040333040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 20131040333040 its reverse (4033304013102), we get a palindrome (24164344346142).

The spelling of 20131040333040 in words is "twenty trillion, one hundred thirty-one billion, forty million, three hundred thirty-three thousand, forty".