403001432320 has 144 divisors (see below), whose sum is σ = 992966042880. Its totient is φ = 156632481792.

The previous prime is 403001432297. The next prime is 403001432329. The reversal of 403001432320 is 23234100304.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 403001432291 and 403001432300.

It is not an unprimeable number, because it can be changed into a prime (403001432329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8338144 + ... + 8386336.

It is an arithmetic number, because the mean of its divisors is an integer number (6895597520).

Almost surely, 2^403001432320 is an apocalyptic number.

403001432320 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 403001432320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496483021440).

403001432320 is an abundant number, since it is smaller than the sum of its proper divisors (589964610560).

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

403001432320 is a wasteful number, since it uses less digits than its factorization.

403001432320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48400 (or 48386 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 403001432320 its reverse (23234100304), we get a palindrome (426235532624).

The spelling of 403001432320 in words is "four hundred three billion, one million, four hundred thirty-two thousand, three hundred twenty".