44114206080 has 1536 divisors, whose sum is σ = 190885248000. Its totient is φ = 8583708672.

The previous prime is 44114206069. The next prime is 44114206111. The reversal of 44114206080 is 8060241144.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1192275822 + ... + 1192275858.

It is an arithmetic number, because the mean of its divisors is an integer number (124274250).

Almost surely, 2^44114206080 is an apocalyptic number.

44114206080 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 44114206080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95442624000).

44114206080 is an abundant number, since it is smaller than the sum of its proper divisors (146771041920).

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

44114206080 is a wasteful number, since it uses less digits than its factorization.

44114206080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The spelling of 44114206080 in words is "forty-four billion, one hundred fourteen million, two hundred six thousand, eighty".