12840550400 has 360 divisors, whose sum is σ = 35105253120. Its totient is φ = 4642570240.

The previous prime is 12840550399. The next prime is 12840550409. The reversal of 12840550400 is 405504821.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12840550409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 273203177 + ... + 273203223.

It is an arithmetic number, because the mean of its divisors is an integer number (97514592).

Almost surely, 2^12840550400 is an apocalyptic number.

12840550400 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 12840550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17552626560).

12840550400 is an abundant number, since it is smaller than the sum of its proper divisors (22264702720).

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

12840550400 is an equidigital number, since it uses as much as digits as its factorization.

12840550400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 29.

The spelling of 12840550400 in words is "twelve billion, eight hundred forty million, five hundred fifty thousand, four hundred".