1003084463040 has 336 divisors, whose sum is σ = 3504852771840. Its totient is φ = 242879436800.

The previous prime is 1003084463009. The next prime is 1003084463047. The reversal of 1003084463040 is 403644803001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 1003084462992 and 1003084463010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003084463047) 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, 105817021 + ... + 105826499.

It is an arithmetic number, because the mean of its divisors is an integer number (10431109440).

Almost surely, 2^{1003084463040} is an apocalyptic number.

1003084463040 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 1003084463040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1752426385920).

1003084463040 is an abundant number, since it is smaller than the sum of its proper divisors (2501768308800).

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

1003084463040 is a wasteful number, since it uses less digits than its factorization.

1003084463040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10432 (or 10411 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The spelling of 1003084463040 in words is "one trillion, three billion, eighty-four million, four hundred sixty-three thousand, forty".