1032303056400 has 1440 divisors, whose sum is σ = 4749338880000. Its totient is φ = 201023078400.

The previous prime is 1032303056387. The next prime is 1032303056419. The reversal of 1032303056400 is 46503032301.

It is a happy number.

1032303056400 is a `hidden beast` number, since 10 + 3 + 2 + 3 + 0 + 3 + 0 + 5 + 640 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2068743351 + ... + 2068743849.

It is an arithmetic number, because the mean of its divisors is an integer number (3298152000).

Almost surely, 2^{1032303056400} is an apocalyptic number.

1032303056400 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 1032303056400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2374669440000).

1032303056400 is an abundant number, since it is smaller than the sum of its proper divisors (3717035823600).

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

1032303056400 is a wasteful number, since it uses less digits than its factorization.

1032303056400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 1032303056400 its reverse (46503032301), we get a palindrome (1078806088701).

The spelling of 1032303056400 in words is "one trillion, thirty-two billion, three hundred three million, fifty-six thousand, four hundred".