403433220400 has 240 divisors, whose sum is σ = 1158993676800. Its totient is φ = 131948974080.

The previous prime is 403433220397. The next prime is 403433220401. The reversal of 403433220400 is 4022334304.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (403433220401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24399336 + ... + 24415864.

It is an arithmetic number, because the mean of its divisors is an integer number (4829140320).

Almost surely, 2^403433220400 is an apocalyptic number.

403433220400 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 403433220400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579496838400).

403433220400 is an abundant number, since it is smaller than the sum of its proper divisors (755560456400).

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

403433220400 is a wasteful number, since it uses less digits than its factorization.

403433220400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16956 (or 16945 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 25.

Adding to 403433220400 its reverse (4022334304), we get a palindrome (407455554704).

The spelling of 403433220400 in words is "four hundred three billion, four hundred thirty-three million, two hundred twenty thousand, four hundred".