4139339742720 has 1920 divisors, whose sum is σ = 18876978046080. Its totient is φ = 851682263040.

The previous prime is 4139339742719. The next prime is 4139339742743. The reversal of 4139339742720 is 272479339314.

4139339742720 is a `hidden beast` number, since 4 + 1 + 39 + 339 + 7 + 4 + 272 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×4139339742720² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1805205894 + ... + 1805208186.

It is an arithmetic number, because the mean of its divisors is an integer number (9831759399).

Almost surely, 2^{4139339742720} is an apocalyptic number.

4139339742720 is a gapful number since it is divisible by the number (40) 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 4139339742720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9438489023040).

4139339742720 is an abundant number, since it is smaller than the sum of its proper divisors (14737638303360).

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

4139339742720 is a wasteful number, since it uses less digits than its factorization.

4139339742720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2393 (or 2364 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 54.

The spelling of 4139339742720 in words is "four trillion, one hundred thirty-nine billion, three hundred thirty-nine million, seven hundred forty-two thousand, seven hundred twenty".