1003412444400 has 90 divisors (see below), whose sum is σ = 3482119920240. Its totient is φ = 267576650880.

The previous prime is 1003412444383. The next prime is 1003412444401. The reversal of 1003412444400 is 44442143001.

1003412444400 is a `hidden beast` number, since 10 + 0 + 3 + 4 + 1 + 244 + 4 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (90).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003412444401) 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 17 ways as a sum of consecutive naturals, for example, 139359240 + ... + 139366439.

It is an arithmetic number, because the mean of its divisors is an integer number (38690221336).

Almost surely, 2^{1003412444400} is an apocalyptic number.

1003412444400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003412444400 is an abundant number, since it is smaller than the sum of its proper divisors (2478707475840).

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

1003412444400 is a wasteful number, since it uses less digits than its factorization.

1003412444400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278725703 (or 278725689 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 1003412444400 its reverse (44442143001), we get a palindrome (1047854587401).

The spelling of 1003412444400 in words is "one trillion, three billion, four hundred twelve million, four hundred forty-four thousand, four hundred".