4494101788800 has 1536 divisors, whose sum is σ = 18425758176000. Its totient is φ = 1062125568000.

The previous prime is 4494101788783. The next prime is 4494101788807. The reversal of 4494101788800 is 88871014944.

4494101788800 is a `hidden beast` number, since 4 + 494 + 1 + 0 + 1 + 78 + 8 + 80 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4494101788807) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9152956555 + ... + 9152957045.

Almost surely, 2^{4494101788800} is an apocalyptic number.

4494101788800 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 4494101788800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9212879088000).

4494101788800 is an abundant number, since it is smaller than the sum of its proper divisors (13931656387200).

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

4494101788800 is a wasteful number, since it uses less digits than its factorization.

4494101788800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 4494101788800 in words is "four trillion, four hundred ninety-four billion, one hundred one million, seven hundred eighty-eight thousand, eight hundred".