40233000400 has 120 divisors (see below), whose sum is σ = 97913099480. Its totient is φ = 15885434880.

The previous prime is 40233000391. The next prime is 40233000419. The reversal of 40233000400 is 400033204.

40233000400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 14512539024 + 25720461376 = 120468^2 + 160376^2 .

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

It is a congruent number.

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, 17730466 + ... + 17732734.

Almost surely, 2^40233000400 is an apocalyptic number.

40233000400 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 40233000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48956549740).

40233000400 is an abundant number, since it is smaller than the sum of its proper divisors (57680099080).

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

40233000400 is a wasteful number, since it uses less digits than its factorization.

40233000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2841 (or 2830 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

Adding to 40233000400 its reverse (400033204), we get a palindrome (40633033604).

The spelling of 40233000400 in words is "forty billion, two hundred thirty-three million, four hundred", and thus it is an aban number.