4398672697440 has 288 divisors, whose sum is σ = 16422111266400. Its totient is φ = 986440605696.

The previous prime is 4398672697439. The next prime is 4398672697469. The reversal of 4398672697440 is 447962768934.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 517765 + ... + 3010884.

It is an arithmetic number, because the mean of its divisors is an integer number (57021219675).

Almost surely, 2^{4398672697440} is an apocalyptic number.

4398672697440 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 4398672697440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8211055633200).

4398672697440 is an abundant number, since it is smaller than the sum of its proper divisors (12023438568960).

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

4398672697440 is a wasteful number, since it uses less digits than its factorization.

4398672697440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3528734 (or 3528719 counting only the distinct ones).

The product of its (nonzero) digits is 438939648, while the sum is 69.

The spelling of 4398672697440 in words is "four trillion, three hundred ninety-eight billion, six hundred seventy-two million, six hundred ninety-seven thousand, four hundred forty".