40233130400 has 72 divisors (see below), whose sum is σ = 98569214604. Its totient is φ = 16035891200.

The previous prime is 40233130319. The next prime is 40233130447. The reversal of 40233130400 is 403133204.

It can be written as a sum of positive squares in 6 ways, for example, as 9830325904 + 30402804496 = 99148^2 + 174364^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 135314 + ... + 314286.

Almost surely, 2^40233130400 is an apocalyptic number.

40233130400 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 40233130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49284607302).

40233130400 is an abundant number, since it is smaller than the sum of its proper divisors (58336084204).

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

40233130400 is a wasteful number, since it uses less digits than its factorization.

40233130400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179274 (or 179261 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 40233130400 its reverse (403133204), we get a palindrome (40636263604).

The spelling of 40233130400 in words is "forty billion, two hundred thirty-three million, one hundred thirty thousand, four hundred".