4389738997248 has 1440 divisors, whose sum is σ = 15451948512000. Its totient is φ = 1239601397760.

The previous prime is 4389738997223. The next prime is 4389738997321. The reversal of 4389738997248 is 8427998379834.

4389738997248 is a `hidden beast` number, since 4 + 389 + 73 + 89 + 97 + 2 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 29461335478 + ... + 29461335626.

It is an arithmetic number, because the mean of its divisors is an integer number (10730519800).

Almost surely, 2^{4389738997248} is an apocalyptic number.

4389738997248 is a gapful number since it is divisible by the number (48) 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 4389738997248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7725974256000).

4389738997248 is an abundant number, since it is smaller than the sum of its proper divisors (11062209514752).

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

4389738997248 is a wasteful number, since it uses less digits than its factorization.

4389738997248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 287 counting only the distinct ones).

The product of its digits is 5267275776, while the sum is 81.

The spelling of 4389738997248 in words is "four trillion, three hundred eighty-nine billion, seven hundred thirty-eight million, nine hundred ninety-seven thousand, two hundred forty-eight".