4385895296640 has 2048 divisors, whose sum is σ = 18353560780800. Its totient is φ = 874296115200.

The previous prime is 4385895296593. The next prime is 4385895296681. The reversal of 4385895296640 is 466925985834.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5983485714 + ... + 5983486446.

It is an arithmetic number, because the mean of its divisors is an integer number (8961699600).

Almost surely, 2^{4385895296640} is an apocalyptic number.

4385895296640 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 4385895296640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9176780390400).

4385895296640 is an abundant number, since it is smaller than the sum of its proper divisors (13967665484160).

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

4385895296640 is a wasteful number, since it uses less digits than its factorization.

4385895296640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 447897600, while the sum is 69.

The spelling of 4385895296640 in words is "four trillion, three hundred eighty-five billion, eight hundred ninety-five million, two hundred ninety-six thousand, six hundred forty".