1003137408000 has 1584 divisors, whose sum is σ = 4531842229824. Its totient is φ = 211496140800.

The previous prime is 1003137407981. The next prime is 1003137408061. The reversal of 1003137408000 is 8047313001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 733823317 + ... + 733824683.

Almost surely, 2^{1003137408000} is an apocalyptic number.

1003137408000 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 1003137408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2265921114912).

1003137408000 is an abundant number, since it is smaller than the sum of its proper divisors (3528704821824).

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

1003137408000 is a wasteful number, since it uses less digits than its factorization.

1003137408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1435 (or 1397 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 1003137408000 in words is "one trillion, three billion, one hundred thirty-seven million, four hundred eight thousand".