40000800 has 144 divisors (see below), whose sum is σ = 148865472. Its totient is φ = 9139200.

The previous prime is 40000799. The next prime is 40000837. The reversal of 40000800 is 800004.

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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15610 + ... + 17990.

It is an arithmetic number, because the mean of its divisors is an integer number (1033788).

Almost surely, 2^40000800 is an apocalyptic number.

40000800 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 40000800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74432736).

40000800 is an abundant number, since it is smaller than the sum of its proper divisors (108864672).

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

40000800 is a wasteful number, since it uses less digits than its factorization.

40000800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2411 (or 2398 counting only the distinct ones).

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

The square root of 40000800 is about 6324.6185655737. The cubic root of 40000800 is about 341.9974692881.

Adding to 40000800 its reverse (800004), we get a palindrome (40800804).

The spelling of 40000800 in words is "forty million, eight hundred", and thus it is an aban number.