4010271906816 has 528 divisors, whose sum is σ = 13945935228160. Its totient is φ = 1084270510080.

The previous prime is 4010271906811. The next prime is 4010271906841. The reversal of 4010271906816 is 6186091720104.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4010271906811) 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 47 ways as a sum of consecutive naturals, for example, 1876588500 + ... + 1876590636.

Almost surely, 2^{4010271906816} 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 4010271906816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6972967614080).

4010271906816 is an abundant number, since it is smaller than the sum of its proper divisors (9935663321344).

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

4010271906816 is a wasteful number, since it uses less digits than its factorization.

4010271906816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3720 (or 3699 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 4010271906816 in words is "four trillion, ten billion, two hundred seventy-one million, nine hundred six thousand, eight hundred sixteen".