44158217040 has 640 divisors, whose sum is σ = 185668116480. Its totient is φ = 9426751488.

The previous prime is 44158217039. The next prime is 44158217087. The reversal of 44158217040 is 4071285144.

It is a happy number.

44158217040 is a `hidden beast` number, since 4 + 4 + 1 + 582 + 1 + 70 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 44158216986 and 44158217004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14952204 + ... + 14955156.

It is an arithmetic number, because the mean of its divisors is an integer number (290106432).

Almost surely, 2^44158217040 is an apocalyptic number.

44158217040 is a gapful number since it is divisible by the number (40) 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 44158217040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92834058240).

44158217040 is an abundant number, since it is smaller than the sum of its proper divisors (141509899440).

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

44158217040 is a wasteful number, since it uses less digits than its factorization.

44158217040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3048 (or 3036 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 44158217040 in words is "forty-four billion, one hundred fifty-eight million, two hundred seventeen thousand, forty".