1003045200000 has 384 divisors, whose sum is σ = 3347903845440. Its totient is φ = 266058240000.

The previous prime is 1003045199983. The next prime is 1003045200013. The reversal of 1003045200000 is 25403001.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 236397879 + ... + 236402121.

Almost surely, 2^{1003045200000} is an apocalyptic number.

1003045200000 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 1003045200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1673951922720).

1003045200000 is an abundant number, since it is smaller than the sum of its proper divisors (2344858645440).

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

1003045200000 is an frugal number, since it uses more digits than its factorization.

1003045200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4482 (or 4450 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The spelling of 1003045200000 in words is "one trillion, three billion, forty-five million, two hundred thousand".