4082344980480 has 1664 divisors, whose sum is σ = 16391519907840. Its totient is φ = 957213573120.

The previous prime is 4082344980457. The next prime is 4082344980503. The reversal of 4082344980480 is 840894432804.

4082344980480 is a `hidden beast` number, since 4 + 0 + 82 + 3 + 4 + 4 + 9 + 80 + 480 = 666.

4082344980480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4082344980457) and next prime (4082344980503).

It is a tau number, because it is divible by the number of its divisors (1664).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14527917940 + ... + 14527918220.

Almost surely, 2^{4082344980480} is an apocalyptic number.

4082344980480 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 4082344980480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8195759953920).

4082344980480 is an abundant number, since it is smaller than the sum of its proper divisors (12309174927360).

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

4082344980480 is a wasteful number, since it uses less digits than its factorization.

4082344980480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 4082344980480 in words is "four trillion, eighty-two billion, three hundred forty-four million, nine hundred eighty thousand, four hundred eighty".