44072406346000 has 320 divisors, whose sum is σ = 112596588000000. Its totient is φ = 16638599577600.

The previous prime is 44072406345949. The next prime is 44072406346009. The reversal of 44072406346000 is 64360427044.

It is a super-2 number, since 2×44072406346000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (44072406346009) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 18842412831 + ... + 18842415169.

It is an arithmetic number, because the mean of its divisors is an integer number (351864337500).

Almost surely, 2^{44072406346000} is an apocalyptic number.

44072406346000 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 44072406346000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56298294000000).

44072406346000 is an abundant number, since it is smaller than the sum of its proper divisors (68524181654000).

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

44072406346000 is a wasteful number, since it uses less digits than its factorization.

44072406346000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4027 (or 4011 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 40.

The spelling of 44072406346000 in words is "forty-four trillion, seventy-two billion, four hundred six million, three hundred forty-six thousand".