4010047118880 has 1152 divisors, whose sum is σ = 15741473126400. Its totient is φ = 851866583040.

The previous prime is 4010047118843. The next prime is 4010047118887. The reversal of 4010047118880 is 888117400104.

4010047118880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (4010047118887) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1106828749 + ... + 1106832371.

It is an arithmetic number, because the mean of its divisors is an integer number (13664473200).

Almost surely, 2^{4010047118880} is an apocalyptic number.

4010047118880 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 4010047118880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7870736563200).

4010047118880 is an abundant number, since it is smaller than the sum of its proper divisors (11731426007520).

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

4010047118880 is a wasteful number, since it uses less digits than its factorization.

4010047118880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3758 (or 3739 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 42.

The spelling of 4010047118880 in words is "four trillion, ten billion, forty-seven million, one hundred eighteen thousand, eight hundred eighty".