1003144300400 has 240 divisors, whose sum is σ = 2648895602688. Its totient is φ = 362049408000.

The previous prime is 1003144300399. The next prime is 1003144300537. The reversal of 1003144300400 is 40034413001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 468101729 + ... + 468103871.

Almost surely, 2^{1003144300400} is an apocalyptic number.

1003144300400 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 1003144300400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1324447801344).

1003144300400 is an abundant number, since it is smaller than the sum of its proper divisors (1645751302288).

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

1003144300400 is a wasteful number, since it uses less digits than its factorization.

1003144300400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2920 (or 2909 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 1003144300400 its reverse (40034413001), we get a palindrome (1043178713401).

The spelling of 1003144300400 in words is "one trillion, three billion, one hundred forty-four million, three hundred thousand, four hundred".