44439395224896 has 448 divisors, whose sum is σ = 153806068572160. Its totient is φ = 12316444968960.

The previous prime is 44439395224811. The next prime is 44439395224949. The reversal of 44439395224896 is 69842259393444.

44439395224896 is a `hidden beast` number, since 4 + 4 + 4 + 3 + 9 + 3 + 9 + 522 + 4 + 8 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×44439395224896³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 147989721 + ... + 148289703.

Almost surely, 2^{44439395224896} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44439395224896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76903034286080).

44439395224896 is an abundant number, since it is smaller than the sum of its proper divisors (109366673347264).

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

44439395224896 is a wasteful number, since it uses less digits than its factorization.

44439395224896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300379 (or 300363 counting only the distinct ones).

The product of its digits is 1612431360, while the sum is 72.

The spelling of 44439395224896 in words is "forty-four trillion, four hundred thirty-nine billion, three hundred ninety-five million, two hundred twenty-four thousand, eight hundred ninety-six".