40800000000 has 432 divisors, whose sum is σ = 143964770040. Its totient is φ = 10240000000.

The previous prime is 40799999969. The next prime is 40800000047. The reversal of 40800000000 is 804.

40800000000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2399999992 + ... + 2400000008.

Almost surely, 2^40800000000 is an apocalyptic number.

40800000000 is a gapful number since it is divisible by the number (40) 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 40800000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71982385020).

40800000000 is an abundant number, since it is smaller than the sum of its proper divisors (103164770040).

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

40800000000 is an frugal number, since it uses more digits than its factorization.

40800000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 40800000000 its reverse (804), we get a palindrome (40800000804).

The spelling of 40800000000 in words is "forty billion, eight hundred million", and thus it is an aban number.