4458196978560 has 1536 divisors, whose sum is σ = 18129394483200. Its totient is φ = 999707443200.

The previous prime is 4458196978553. The next prime is 4458196978603. The reversal of 4458196978560 is 658796918544.

4458196978560 is a `hidden beast` number, since 4 + 4 + 58 + 1 + 9 + 6 + 9 + 7 + 8 + 560 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11952270534 + ... + 11952270906.

It is an arithmetic number, because the mean of its divisors is an integer number (11802991200).

Almost surely, 2^{4458196978560} is an apocalyptic number.

4458196978560 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 4458196978560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9064697241600).

4458196978560 is an abundant number, since it is smaller than the sum of its proper divisors (13671197504640).

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

4458196978560 is a wasteful number, since it uses less digits than its factorization.

4458196978560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 522547200, while the sum is 72.

The spelling of 4458196978560 in words is "four trillion, four hundred fifty-eight billion, one hundred ninety-six million, nine hundred seventy-eight thousand, five hundred sixty".