44407533570444 has 384 divisors, whose sum is σ = 131356091059200. Its totient is φ = 12853728000000.

The previous prime is 44407533570409. The next prime is 44407533570497.

It is a happy number.

44407533570444 is a `hidden beast` number, since 44 + 40 + 7 + 53 + 3 + 5 + 70 + 444 = 666.

44407533570444 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×44407533570444² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1973569194 + ... + 1973591694.

It is an arithmetic number, because the mean of its divisors is an integer number (342073153800).

Almost surely, 2^{44407533570444} is an apocalyptic number.

44407533570444 is a gapful number since it is divisible by the number (44) 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 44407533570444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65678045529600).

44407533570444 is an abundant number, since it is smaller than the sum of its proper divisors (86948557488756).

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

44407533570444 is a wasteful number, since it uses less digits than its factorization.

44407533570444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23382 (or 23374 counting only the distinct ones).

The product of its (nonzero) digits is 45158400, while the sum is 54.

The spelling of 44407533570444 in words is "forty-four trillion, four hundred seven billion, five hundred thirty-three million, five hundred seventy thousand, four hundred forty-four".