2003404034000 has 160 divisors (see below), whose sum is σ = 4909347031680. Its totient is φ = 790616448000.

The previous prime is 2003404033993. The next prime is 2003404034003. The reversal of 2003404034000 is 4304043002.

It is a happy number.

It is a super-3 number, since 3×2003404034000³ (a number of 38 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2003404034003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126318071 + ... + 126333929.

It is an arithmetic number, because the mean of its divisors is an integer number (30683418948).

Almost surely, 2^{2003404034000} is an apocalyptic number.

2003404034000 is a gapful number since it is divisible by the number (20) 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 2003404034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2454673515840).

2003404034000 is an abundant number, since it is smaller than the sum of its proper divisors (2905942997680).

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

2003404034000 is a wasteful number, since it uses less digits than its factorization.

2003404034000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16726 (or 16710 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 2003404034000 its reverse (4304043002), we get a palindrome (2007708077002).

The spelling of 2003404034000 in words is "two trillion, three billion, four hundred four million, thirty-four thousand".