4321085382240 has 576 divisors, whose sum is σ = 15498536288256. Its totient is φ = 1010161152000.

The previous prime is 4321085382203. The next prime is 4321085382253. The reversal of 4321085382240 is 422835801234.

It is a junction number, because it is equal to n+sod(n) for n = 4321085382192 and 4321085382201.

It is a congruent number.

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, 527536545 + ... + 527544735.

It is an arithmetic number, because the mean of its divisors is an integer number (26907181056).

Almost surely, 2^{4321085382240} is an apocalyptic number.

4321085382240 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 4321085382240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7749268144128).

4321085382240 is an abundant number, since it is smaller than the sum of its proper divisors (11177450906016).

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

4321085382240 is a wasteful number, since it uses less digits than its factorization.

4321085382240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8555 (or 8536 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The spelling of 4321085382240 in words is "four trillion, three hundred twenty-one billion, eighty-five million, three hundred eighty-two thousand, two hundred forty".