44071124160 has 224 divisors, whose sum is σ = 161385016320. Its totient is φ = 9980817408.

The previous prime is 44071124107. The next prime is 44071124161. The reversal of 44071124160 is 6142117044.

44071124160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×44071124160² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (44071124161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 702397 + ... + 762563.

Almost surely, 2^44071124160 is an apocalyptic number.

44071124160 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 44071124160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80692508160).

44071124160 is an abundant number, since it is smaller than the sum of its proper divisors (117313892160).

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

44071124160 is a wasteful number, since it uses less digits than its factorization.

44071124160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60303 (or 60293 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The spelling of 44071124160 in words is "forty-four billion, seventy-one million, one hundred twenty-four thousand, one hundred sixty".