44078414542848 has 288 divisors, whose sum is σ = 147246170198400. Its totient is φ = 12442096779264.

The previous prime is 44078414542829. The next prime is 44078414542861. The reversal of 44078414542848 is 84824541487044.

It is a happy number.

44078414542848 is a `hidden beast` number, since 4 + 4 + 0 + 7 + 8 + 4 + 1 + 4 + 542 + 84 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×44078414542848² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 8650983 + ... + 12767001.

It is an arithmetic number, because the mean of its divisors is an integer number (511271424300).

Almost surely, 2^{44078414542848} is an apocalyptic number.

44078414542848 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44078414542848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73623085099200).

44078414542848 is an abundant number, since it is smaller than the sum of its proper divisors (103167755655552).

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

44078414542848 is a wasteful number, since it uses less digits than its factorization.

44078414542848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4116137 (or 4116114 counting only the distinct ones).

The product of its (nonzero) digits is 146800640, while the sum is 63.

The spelling of 44078414542848 in words is "forty-four trillion, seventy-eight billion, four hundred fourteen million, five hundred forty-two thousand, eight hundred forty-eight".