2003125314400 has 288 divisors, whose sum is σ = 5670474441408. Its totient is φ = 676756684800.

The previous prime is 2003125314373. The next prime is 2003125314403. The reversal of 2003125314400 is 44135213002.

It is a super-2 number, since 2×2003125314400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2003125314403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 760775484 + ... + 760778116.

It is an arithmetic number, because the mean of its divisors is an integer number (19689147366).

Almost surely, 2^{2003125314400} is an apocalyptic number.

2003125314400 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 2003125314400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2835237220704).

2003125314400 is an abundant number, since it is smaller than the sum of its proper divisors (3667349127008).

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

2003125314400 is a wasteful number, since it uses less digits than its factorization.

2003125314400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4594 (or 4581 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The spelling of 2003125314400 in words is "two trillion, three billion, one hundred twenty-five million, three hundred fourteen thousand, four hundred".