12739778240 has 224 divisors, whose sum is σ = 37099036800. Its totient is φ = 4067426304.

The previous prime is 12739778239. The next prime is 12739778267. The reversal of 12739778240 is 4287793721.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3692036 + ... + 3695484.

It is an arithmetic number, because the mean of its divisors is an integer number (165620700).

Almost surely, 2^12739778240 is an apocalyptic number.

12739778240 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 12739778240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18549518400).

12739778240 is an abundant number, since it is smaller than the sum of its proper divisors (24359258560).

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

12739778240 is a wasteful number, since it uses less digits than its factorization.

12739778240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3587 (or 3577 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 50.

The spelling of 12739778240 in words is "twelve billion, seven hundred thirty-nine million, seven hundred seventy-eight thousand, two hundred forty".