2038788729440 has 48 divisors (see below), whose sum is σ = 4816729148112. Its totient is φ = 815500122624.

The previous prime is 2038788729431. The next prime is 2038788729557. The reversal of 2038788729440 is 449278878302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12583022 + ... + 12744018.

It is an arithmetic number, because the mean of its divisors is an integer number (100348523919).

Almost surely, 2^{2038788729440} is an apocalyptic number.

2038788729440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2038788729440 is an abundant number, since it is smaller than the sum of its proper divisors (2777940418672).

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

2038788729440 is a wasteful number, since it uses less digits than its factorization.

2038788729440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240159 (or 240151 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 62.

The spelling of 2038788729440 in words is "two trillion, thirty-eight billion, seven hundred eighty-eight million, seven hundred twenty-nine thousand, four hundred forty".