1003363730920 has 128 divisors (see below), whose sum is σ = 2429175329280. Its totient is φ = 372049920000.

The previous prime is 1003363730911. The next prime is 1003363730927. The reversal of 1003363730920 is 290373633001.

1003363730920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 1003363730920.

It is not an unprimeable number, because it can be changed into a prime (1003363730927) 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, 5607640 + ... + 5783800.

It is an arithmetic number, because the mean of its divisors is an integer number (18977932260).

Almost surely, 2^{1003363730920} is an apocalyptic number.

1003363730920 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 1003363730920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1214587664640).

1003363730920 is an abundant number, since it is smaller than the sum of its proper divisors (1425811598360).

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

1003363730920 is a wasteful number, since it uses less digits than its factorization.

1003363730920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176387 (or 176383 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 37.

The spelling of 1003363730920 in words is "one trillion, three billion, three hundred sixty-three million, seven hundred thirty thousand, nine hundred twenty".