4071928734720 has 1760 divisors, whose sum is σ = 18823577921280. Its totient is φ = 816752885760.

The previous prime is 4071928734719. The next prime is 4071928734721. The reversal of 4071928734720 is 274378291704.

4071928734720 is a `hidden beast` number, since 4 + 0 + 7 + 1 + 92 + 87 + 3 + 472 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4071928734719) and next prime (4071928734721).

It is a tau number, because it is divible by the number of its divisors (1760).

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

It is not an unprimeable number, because it can be changed into a prime (4071928734721) 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 159 ways as a sum of consecutive naturals, for example, 926067562 + ... + 926071958.

It is an arithmetic number, because the mean of its divisors is an integer number (10695214728).

Almost surely, 2^{4071928734720} is an apocalyptic number.

4071928734720 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 4071928734720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9411788960640).

4071928734720 is an abundant number, since it is smaller than the sum of its proper divisors (14751649186560).

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

4071928734720 is a wasteful number, since it uses less digits than its factorization.

4071928734720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4481 (or 4454 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 4071928734720 in words is "four trillion, seventy-one billion, nine hundred twenty-eight million, seven hundred thirty-four thousand, seven hundred twenty".