1003865728320 has 1792 divisors, whose sum is σ = 4522549248000. Its totient is φ = 208252477440.

The previous prime is 1003865728309. The next prime is 1003865728357. The reversal of 1003865728320 is 238275683001.

1003865728320 is a `hidden beast` number, since 10 + 0 + 38 + 6 + 572 + 8 + 32 + 0 = 666.

1003865728320 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2735328777 + ... + 2735329143.

It is an arithmetic number, because the mean of its divisors is an integer number (2523744000).

Almost surely, 2^{1003865728320} is an apocalyptic number.

1003865728320 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 1003865728320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2261274624000).

1003865728320 is an abundant number, since it is smaller than the sum of its proper divisors (3518683519680).

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

1003865728320 is a wasteful number, since it uses less digits than its factorization.

1003865728320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 1003865728320 in words is "one trillion, three billion, eight hundred sixty-five million, seven hundred twenty-eight thousand, three hundred twenty".