4076710011072 has 168 divisors, whose sum is σ = 11796139293120. Its totient is φ = 1346011914240.

The previous prime is 4076710011053. The next prime is 4076710011079. The reversal of 4076710011072 is 2701100176704.

4076710011072 is a `hidden beast` number, since 407 + 6 + 71 + 0 + 0 + 110 + 72 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4076710011079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105488329 + ... + 105526967.

It is an arithmetic number, because the mean of its divisors is an integer number (70215114840).

Almost surely, 2^{4076710011072} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4076710011072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5898069646560).

4076710011072 is an abundant number, since it is smaller than the sum of its proper divisors (7719429282048).

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

4076710011072 is a wasteful number, since it uses less digits than its factorization.

4076710011072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40391 (or 40378 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 36.

Adding to 4076710011072 its reverse (2701100176704), we get a palindrome (6777810187776).

The spelling of 4076710011072 in words is "four trillion, seventy-six billion, seven hundred ten million, eleven thousand, seventy-two".