4079126731680 has 5376 divisors, whose sum is σ = 21322712678400. Its totient is φ = 724250419200.

The previous prime is 4079126731619. The next prime is 4079126731681. The reversal of 4079126731680 is 861376219704.

4079126731680 is a `hidden beast` number, since 407 + 9 + 1 + 2 + 6 + 73 + 168 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4079126731681) by changing a digit.

It is a polite number, since it can be written in 895 ways as a sum of consecutive naturals, for example, 131584733265 + ... + 131584733295.

It is an arithmetic number, because the mean of its divisors is an integer number (3966278400).

Almost surely, 2^{4079126731680} is an apocalyptic number.

4079126731680 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 4079126731680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10661356339200).

4079126731680 is an abundant number, since it is smaller than the sum of its proper divisors (17243585946720).

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

4079126731680 is a wasteful number, since it uses less digits than its factorization.

4079126731680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 4079126731680 in words is "four trillion, seventy-nine billion, one hundred twenty-six million, seven hundred thirty-one thousand, six hundred eighty".