20132400040 has 64 divisors (see below), whose sum is σ = 46656666000. Its totient is φ = 7812661248.

The previous prime is 20132400023. The next prime is 20132400073. The reversal of 20132400040 is 4000423102.

It can be written as a sum of positive squares in 8 ways, for example, as 10294537444 + 9837862596 = 101462^2 + 99186^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20132399987 and 20132400023.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 497032 + ... + 536008.

Almost surely, 2^20132400040 is an apocalyptic number.

20132400040 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 20132400040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23328333000).

20132400040 is an abundant number, since it is smaller than the sum of its proper divisors (26524265960).

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

20132400040 is a wasteful number, since it uses less digits than its factorization.

20132400040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39374 (or 39370 counting only the distinct ones).

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

Adding to 20132400040 its reverse (4000423102), we get a palindrome (24132823142).

The spelling of 20132400040 in words is "twenty billion, one hundred thirty-two million, four hundred thousand, forty".