44072853840 has 320 divisors, whose sum is σ = 155240064000. Its totient is φ = 11488628736.

The previous prime is 44072853823. The next prime is 44072853841. The reversal of 44072853840 is 4835827044.

It is a happy number.

44072853840 is a `hidden beast` number, since 4 + 4 + 0 + 72 + 8 + 538 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44072853841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42013636 + ... + 42014684.

It is an arithmetic number, because the mean of its divisors is an integer number (485125200).

Almost surely, 2^44072853840 is an apocalyptic number.

44072853840 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 44072853840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77620032000).

44072853840 is an abundant number, since it is smaller than the sum of its proper divisors (111167210160).

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

44072853840 is a wasteful number, since it uses less digits than its factorization.

44072853840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1491 (or 1479 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 44072853840 in words is "forty-four billion, seventy-two million, eight hundred fifty-three thousand, eight hundred forty".