4395938365440 has 360 divisors, whose sum is σ = 15563140145280. Its totient is φ = 1147299692544.

The previous prime is 4395938365421. The next prime is 4395938365463. The reversal of 4395938365440 is 445638395934.

4395938365440 is a `hidden beast` number, since 4 + 3 + 9 + 5 + 9 + 3 + 83 + 6 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×4395938365440² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34588731 + ... + 34715589.

It is an arithmetic number, because the mean of its divisors is an integer number (43230944848).

Almost surely, 2^{4395938365440} is an apocalyptic number.

4395938365440 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 4395938365440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7781570072640).

4395938365440 is an abundant number, since it is smaller than the sum of its proper divisors (11167201779840).

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

4395938365440 is a wasteful number, since it uses less digits than its factorization.

4395938365440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126945 (or 126916 counting only the distinct ones).

The product of its (nonzero) digits is 167961600, while the sum is 63.

The spelling of 4395938365440 in words is "four trillion, three hundred ninety-five billion, nine hundred thirty-eight million, three hundred sixty-five thousand, four hundred forty".