1339641072 has 640 divisors, whose sum is σ = 5348229120. Its totient is φ = 310210560.

The previous prime is 1339641071. The next prime is 1339641077. The reversal of 1339641072 is 2701469331.

1339641072 is a `hidden beast` number, since 1 + 3 + 3 + 9 + 641 + 0 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1339641071) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 13006173 + ... + 13006275.

It is an arithmetic number, because the mean of its divisors is an integer number (8356608).

Almost surely, 2^1339641072 is an apocalyptic number.

1339641072 is a gapful number since it is divisible by the number (12) 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 1339641072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2674114560).

1339641072 is an abundant number, since it is smaller than the sum of its proper divisors (4008588048).

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

1339641072 is a wasteful number, since it uses less digits than its factorization.

1339641072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 1339641072 is about 36601.1075242266. The cubic root of 1339641072 is about 1102.3753276581.

It can be divided in two parts, 1339 and 641072, that added together give a triangular number (642411 = T₁₁₃₃).

The spelling of 1339641072 in words is "one billion, three hundred thirty-nine million, six hundred forty-one thousand, seventy-two".