1003076140000 has 480 divisors, whose sum is σ = 2743812773856. Its totient is φ = 357826560000.

The previous prime is 1003076139973. The next prime is 1003076140043. The reversal of 1003076140000 is 416703001.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3903019872 + ... + 3903020128.

Almost surely, 2^{1003076140000} is an apocalyptic number.

1003076140000 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 1003076140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371906386928).

1003076140000 is an abundant number, since it is smaller than the sum of its proper divisors (1740736633856).

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

1003076140000 is a wasteful number, since it uses less digits than its factorization.

1003076140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The spelling of 1003076140000 in words is "one trillion, three billion, seventy-six million, one hundred forty thousand".