4139794954080 has 960 divisors, whose sum is σ = 16207366412160. Its totient is φ = 989812555776.

The previous prime is 4139794954079. The next prime is 4139794954091. The reversal of 4139794954080 is 804594979314.

4139794954080 is a `hidden beast` number, since 4 + 1 + 3 + 9 + 7 + 9 + 4 + 9 + 540 + 80 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4139794953999 and 4139794954017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1363118322 + ... + 1363121358.

It is an arithmetic number, because the mean of its divisors is an integer number (16882673346).

Almost surely, 2^{4139794954080} is an apocalyptic number.

4139794954080 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 4139794954080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8103683206080).

4139794954080 is an abundant number, since it is smaller than the sum of its proper divisors (12067571458080).

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

4139794954080 is a wasteful number, since it uses less digits than its factorization.

4139794954080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3373 (or 3356 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 4139794954080 in words is "four trillion, one hundred thirty-nine billion, seven hundred ninety-four million, nine hundred fifty-four thousand, eighty".