20331002400 has 144 divisors (see below), whose sum is σ = 66616861248. Its totient is φ = 5385600000.

The previous prime is 20331002317. The next prime is 20331002413. The reversal of 20331002400 is 420013302.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20331002400.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 334350 + ... + 390450.

It is an arithmetic number, because the mean of its divisors is an integer number (462617092).

Almost surely, 2^20331002400 is an apocalyptic number.

20331002400 is a gapful number since it is divisible by the number (20) 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 20331002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33308430624).

20331002400 is an abundant number, since it is smaller than the sum of its proper divisors (46285858848).

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

20331002400 is a wasteful number, since it uses less digits than its factorization.

20331002400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56275 (or 56262 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 20331002400 its reverse (420013302), we get a palindrome (20751015702).

The spelling of 20331002400 in words is "twenty billion, three hundred thirty-one million, two thousand, four hundred".