44025427353600 has 4032 divisors, whose sum is σ = 211930966121472. Its totient is φ = 8455716864000.

The previous prime is 44025427353599. The next prime is 44025427353679. The reversal of 44025427353600 is 635372452044.

44025427353600 is a `hidden beast` number, since 4 + 4 + 0 + 2 + 5 + 4 + 2 + 7 + 35 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-2 number, since 2×44025427353600² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 171305164672 + ... + 171305164928.

Almost surely, 2^{44025427353600} is an apocalyptic number.

44025427353600 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 44025427353600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105965483060736).

44025427353600 is an abundant number, since it is smaller than the sum of its proper divisors (167905538767872).

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

44025427353600 is a wasteful number, since it uses less digits than its factorization.

44025427353600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 45.

The spelling of 44025427353600 in words is "forty-four trillion, twenty-five billion, four hundred twenty-seven million, three hundred fifty-three thousand, six hundred".