4434242023008 has 72 divisors (see below), whose sum is σ = 14411286581328. Its totient is φ = 1266926291712.

The previous prime is 4434242023007. The next prime is 4434242023039. The reversal of 4434242023008 is 8003202424344.

4434242023008 is a `hidden beast` number, since 4 + 4 + 342 + 4 + 2 + 0 + 2 + 300 + 8 = 666.

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

It is a super-2 number, since 2×4434242023008² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4434242023007) 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 11 ways as a sum of consecutive naturals, for example, 1099760391 + ... + 1099764422.

It is an arithmetic number, because the mean of its divisors is an integer number (200156758074).

Almost surely, 2^{4434242023008} is an apocalyptic number.

4434242023008 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4434242023008 is an abundant number, since it is smaller than the sum of its proper divisors (9977044558320).

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

4434242023008 is a wasteful number, since it uses less digits than its factorization.

4434242023008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2199524836 (or 2199524825 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 4434242023008 in words is "four trillion, four hundred thirty-four billion, two hundred forty-two million, twenty-three thousand, eight".