424441909552144 has 135 divisors (see below), whose sum is σ = 925507260280029. Its totient is φ = 188424134088960.

The previous prime is 424441909552043. The next prime is 424441909552147. The reversal of 424441909552144 is 441255909144424.

The square root of 424441909552144 is 20601988.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 13072650134544 + 411369259417600 = 3615612^2 + 20282240^2 .

It is a super-2 number, since 2×424441909552144² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (424441909552147) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 38978955852 + ... + 38978966740.

Almost surely, 2^{424441909552144} is an apocalyptic number.

424441909552144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

424441909552144 is the 20601988-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424441909552144

424441909552144 is an abundant number, since it is smaller than the sum of its proper divisors (501065350727885).

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

424441909552144 is an frugal number, since it uses more digits than its factorization.

424441909552144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21894 (or 10945 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 58.

The spelling of 424441909552144 in words is "four hundred twenty-four trillion, four hundred forty-one billion, nine hundred nine million, five hundred fifty-two thousand, one hundred forty-four".