2003077345440 has 384 divisors, whose sum is σ = 6676882071552. Its totient is φ = 503979356160.

The previous prime is 2003077345427. The next prime is 2003077345453. The reversal of 2003077345440 is 445437703002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2003077345427) and next prime (2003077345453).

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 63 ways as a sum of consecutive naturals, for example, 392219367 + ... + 392224473.

It is an arithmetic number, because the mean of its divisors is an integer number (17387713728).

Almost surely, 2^{2003077345440} is an apocalyptic number.

2003077345440 is a gapful number since it is divisible by the number (20) 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 2003077345440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3338441035776).

2003077345440 is an abundant number, since it is smaller than the sum of its proper divisors (4673804726112).

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

2003077345440 is a wasteful number, since it uses less digits than its factorization.

2003077345440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5812 (or 5804 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 39.

The spelling of 2003077345440 in words is "two trillion, three billion, seventy-seven million, three hundred forty-five thousand, four hundred forty".