8340503740800 has 1536 divisors, whose sum is σ = 35123054837760. Its totient is φ = 1689243648000.

The previous prime is 8340503740769. The next prime is 8340503740873. The reversal of 8340503740800 is 80473050438.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 191 ways as a sum of consecutive naturals, for example, 14973974122 + ... + 14973974678.

It is an arithmetic number, because the mean of its divisors is an integer number (22866572160).

Almost surely, 2^{8340503740800} is an apocalyptic number.

8340503740800 is a gapful number since it is divisible by the number (80) 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 8340503740800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17561527418880).

8340503740800 is an abundant number, since it is smaller than the sum of its proper divisors (26782551096960).

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

8340503740800 is a wasteful number, since it uses less digits than its factorization.

8340503740800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 8340503740800 in words is "eight trillion, three hundred forty billion, five hundred three million, seven hundred forty thousand, eight hundred".