1003055040 has 336 divisors, whose sum is σ = 3776642688. Its totient is φ = 242860032.

The previous prime is 1003054993. The next prime is 1003055041. The reversal of 1003055040 is 405503001.

It is a super-2 number, since 2×1003055040² = 2012238826538803200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003055041) 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, 2732937 + ... + 2733303.

It is an arithmetic number, because the mean of its divisors is an integer number (11240008).

Almost surely, 2^1003055040 is an apocalyptic number.

1003055040 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 1003055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1888321344).

1003055040 is an abundant number, since it is smaller than the sum of its proper divisors (2773587648).

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

1003055040 is a wasteful number, since it uses less digits than its factorization.

1003055040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 1003055040 is about 31671.0441886591. The cubic root of 1003055040 is about 1001.0173113932.

Adding to 1003055040 its reverse (405503001), we get a palindrome (1408558041).

The spelling of 1003055040 in words is "one billion, three million, fifty-five thousand, forty".