20132400040000 has 280 divisors, whose sum is σ = 51419274783800. Its totient is φ = 7812661248000.

The previous prime is 20132400039959. The next prime is 20132400040031. The reversal of 20132400040000 is 4000423102.

It can be written as a sum of positive squares in 20 ways, for example, as 19405364143104 + 727035896896 = 4405152^2 + 852664^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

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 39 ways as a sum of consecutive naturals, for example, 516500512 + ... + 516539488.

It is an arithmetic number, because the mean of its divisors is an integer number (183640267085).

Almost surely, 2^{20132400040000} is an apocalyptic number.

20132400040000 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 20132400040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25709637391900).

20132400040000 is an abundant number, since it is smaller than the sum of its proper divisors (31286874743800).

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

20132400040000 is an equidigital number, since it uses as much as digits as its factorization.

20132400040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39395 (or 39370 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 20132400040000 its reverse (4000423102), we get a palindrome (20136400463102).

The spelling of 20132400040000 in words is "twenty trillion, one hundred thirty-two billion, four hundred million, forty thousand".