4582132416000 has 1280 divisors, whose sum is σ = 18048509107200. Its totient is φ = 1156919500800.

The previous prime is 4582132415977. The next prime is 4582132416023. The reversal of 4582132416000 is 6142312854.

It is a happy number.

4582132416000 is a `hidden beast` number, since 4 + 5 + 8 + 2 + 1 + 3 + 2 + 41 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4582132415977) and next prime (4582132416023).

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 2659391139 + ... + 2659392861.

It is an arithmetic number, because the mean of its divisors is an integer number (14100397740).

Almost surely, 2^{4582132416000} is an apocalyptic number.

4582132416000 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 4582132416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9024254553600).

4582132416000 is an abundant number, since it is smaller than the sum of its proper divisors (13466376691200).

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

4582132416000 is an frugal number, since it uses more digits than its factorization.

4582132416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1796 (or 1752 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 4582132416000 its reverse (6142312854), we get a palindrome (4588274728854).

The spelling of 4582132416000 in words is "four trillion, five hundred eighty-two billion, one hundred thirty-two million, four hundred sixteen thousand".