4012781959008 has 72 divisors (see below), whose sum is σ = 11413898974296. Its totient is φ = 1337295052800.

The previous prime is 4012781959007. The next prime is 4012781959033. The reversal of 4012781959008 is 8009591872104.

It is a happy number.

4012781959008 is a `hidden beast` number, since 40 + 1 + 2 + 7 + 8 + 1 + 9 + 590 + 0 + 8 = 666.

4012781959008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×4012781959008² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4012781959007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 264178 + ... + 2845233.

It is an arithmetic number, because the mean of its divisors is an integer number (158526374643).

Almost surely, 2^{4012781959008} is an apocalyptic number.

4012781959008 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4012781959008 is an abundant number, since it is smaller than the sum of its proper divisors (7401117015288).

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

4012781959008 is a wasteful number, since it uses less digits than its factorization.

4012781959008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3113908 (or 3113897 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 4012781959008 in words is "four trillion, twelve billion, seven hundred eighty-one million, nine hundred fifty-nine thousand, eight".