44071123746640 has 80 divisors (see below), whose sum is σ = 108493951598928. Its totient is φ = 16591296135168.

The previous prime is 44071123746619. The next prime is 44071123746647. The reversal of 44071123746640 is 4664732117044.

44071123746640 is digitally balanced in base 2 and base 6, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2676260421184 + 41394863325456 = 1635928^2 + 6433884^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×44071123746640² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44071123746647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 216237424 + ... + 216441136.

Almost surely, 2^{44071123746640} is an apocalyptic number.

44071123746640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44071123746640 is an abundant number, since it is smaller than the sum of its proper divisors (64422827852288).

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

44071123746640 is a wasteful number, since it uses less digits than its factorization.

44071123746640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362816 (or 362810 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 49.

The spelling of 44071123746640 in words is "forty-four trillion, seventy-one billion, one hundred twenty-three million, seven hundred forty-six thousand, six hundred forty".