4465858682880 has 1792 divisors, whose sum is σ = 18917253504000. Its totient is φ = 998831554560.

The previous prime is 4465858682867. The next prime is 4465858682897. The reversal of 4465858682880 is 882868585644.

It is a happy number.

4465858682880 is a `hidden beast` number, since 4 + 465 + 8 + 5 + 8 + 6 + 82 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 4465858682799 and 4465858682808.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23139164064 + ... + 23139164256.

Almost surely, 2^{4465858682880} is an apocalyptic number.

4465858682880 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 4465858682880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9458626752000).

4465858682880 is an abundant number, since it is smaller than the sum of its proper divisors (14451394821120).

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

4465858682880 is an equidigital number, since it uses as much as digits as its factorization.

4465858682880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 943718400, while the sum is 72.

The spelling of 4465858682880 in words is "four trillion, four hundred sixty-five billion, eight hundred fifty-eight million, six hundred eighty-two thousand, eight hundred eighty".