1003781144520 has 1152 divisors, whose sum is σ = 4294049760000. Its totient is φ = 201587097600.

The previous prime is 1003781144503. The next prime is 1003781144533. The reversal of 1003781144520 is 254411873001.

1003781144520 is a `hidden beast` number, since 10 + 0 + 3 + 7 + 8 + 114 + 4 + 520 = 666.

It is a super-2 number, since 2×1003781144520² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1305306696 + ... + 1305307464.

It is an arithmetic number, because the mean of its divisors is an integer number (3727473750).

Almost surely, 2^{1003781144520} is an apocalyptic number.

1003781144520 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 1003781144520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2147024880000).

1003781144520 is an abundant number, since it is smaller than the sum of its proper divisors (3290268615480).

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

1003781144520 is a wasteful number, since it uses less digits than its factorization.

1003781144520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 1003781144520 in words is "one trillion, three billion, seven hundred eighty-one million, one hundred forty-four thousand, five hundred twenty".