1003231202400 has 720 divisors, whose sum is σ = 4195035938016. Its totient is φ = 228553850880.

The previous prime is 1003231202293. The next prime is 1003231202401. The reversal of 1003231202400 is 42021323001.

1003231202400 is a `hidden beast` number, since 1 + 0 + 0 + 32 + 31 + 202 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003231202401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 143787712 + ... + 143794688.

Almost surely, 2^{1003231202400} is an apocalyptic number.

1003231202400 is a gapful number since it is divisible by the number (10) 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 1003231202400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2097517969008).

1003231202400 is an abundant number, since it is smaller than the sum of its proper divisors (3191804735616).

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

1003231202400 is a wasteful number, since it uses less digits than its factorization.

1003231202400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7333 (or 7311 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 1003231202400 its reverse (42021323001), we get a palindrome (1045252525401).

The spelling of 1003231202400 in words is "one trillion, three billion, two hundred thirty-one million, two hundred two thousand, four hundred".