4381014880032 has 384 divisors, whose sum is σ = 14067062876160. Its totient is φ = 1166086471680.

The previous prime is 4381014880031. The next prime is 4381014880037. The reversal of 4381014880032 is 2300884101834.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (4381014880031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 194432607 + ... + 194455137.

It is an arithmetic number, because the mean of its divisors is an integer number (36632976240).

Almost surely, 2^{4381014880032} is an apocalyptic number.

4381014880032 is a gapful number since it is divisible by the number (42) 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 4381014880032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7033531438080).

4381014880032 is an abundant number, since it is smaller than the sum of its proper divisors (9686047996128).

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

4381014880032 is a wasteful number, since it uses less digits than its factorization.

4381014880032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22824 (or 22816 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

Adding to 4381014880032 its reverse (2300884101834), we get a palindrome (6681898981866).

The spelling of 4381014880032 in words is "four trillion, three hundred eighty-one billion, fourteen million, eight hundred eighty thousand, thirty-two".