4081011034464 has 768 divisors, whose sum is σ = 15338610524160. Its totient is φ = 1026021427200.

The previous prime is 4081011034393. The next prime is 4081011034483. The reversal of 4081011034464 is 4644301101804.

It is a happy number.

4081011034464 is a `hidden beast` number, since 4 + 0 + 8 + 101 + 103 + 446 + 4 = 666.

4081011034464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 127 ways as a sum of consecutive naturals, for example, 555160389 + ... + 555167739.

It is an arithmetic number, because the mean of its divisors is an integer number (19972149120).

Almost surely, 2^{4081011034464} 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 4081011034464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7669305262080).

4081011034464 is an abundant number, since it is smaller than the sum of its proper divisors (11257599489696).

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

4081011034464 is a wasteful number, since it uses less digits than its factorization.

4081011034464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7720 (or 7706 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 4081011034464 in words is "four trillion, eighty-one billion, eleven million, thirty-four thousand, four hundred sixty-four".