4011447140064 has 1152 divisors, whose sum is σ = 14873607141120. Its totient is φ = 997461983232.

The previous prime is 4011447140047. The next prime is 4011447140143. The reversal of 4011447140064 is 4600417441104.

4011447140064 is a `hidden beast` number, since 4 + 0 + 11 + 447 + 140 + 0 + 64 = 666.

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

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, 4574055594 + ... + 4574056470.

It is an arithmetic number, because the mean of its divisors is an integer number (12911117310).

Almost surely, 2^{4011447140064} 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 4011447140064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7436803570560).

4011447140064 is an abundant number, since it is smaller than the sum of its proper divisors (10862160001056).

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

4011447140064 is a wasteful number, since it uses less digits than its factorization.

4011447140064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 4011447140064 in words is "four trillion, eleven billion, four hundred forty-seven million, one hundred forty thousand, sixty-four".