1003032100400 has 240 divisors, whose sum is σ = 2670045936480. Its totient is φ = 359060275200.

The previous prime is 1003032100333. The next prime is 1003032100453. The reversal of 1003032100400 is 40012303001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91237304 + ... + 91248296.

It is an arithmetic number, because the mean of its divisors is an integer number (11125191402).

Almost surely, 2^{1003032100400} is an apocalyptic number.

1003032100400 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 1003032100400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1335022968240).

1003032100400 is an abundant number, since it is smaller than the sum of its proper divisors (1667013836080).

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

1003032100400 is a wasteful number, since it uses less digits than its factorization.

1003032100400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11344 (or 11333 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 1003032100400 its reverse (40012303001), we get a palindrome (1043044403401).

The spelling of 1003032100400 in words is "one trillion, three billion, thirty-two million, one hundred thousand, four hundred".