393728845440 has 768 divisors, whose sum is σ = 1555815237120. Its totient is φ = 84152549376.

The previous prime is 393728845417. The next prime is 393728845463. The reversal of 393728845440 is 44548827393.

It is an interprime number because it is at equal distance from previous prime (393728845417) and next prime (393728845463).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 276688569 + ... + 276689991.

It is an arithmetic number, because the mean of its divisors is an integer number (2025801090).

Almost surely, 2^393728845440 is an apocalyptic number.

393728845440 is a gapful number since it is divisible by the number (30) 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 393728845440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777907618560).

393728845440 is an abundant number, since it is smaller than the sum of its proper divisors (1162086391680).

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

393728845440 is a wasteful number, since it uses less digits than its factorization.

393728845440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1649 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 57.

The spelling of 393728845440 in words is "three hundred ninety-three billion, seven hundred twenty-eight million, eight hundred forty-five thousand, four hundred forty".