4601811916800 has 2592 divisors, whose sum is σ = 20787781996800. Its totient is φ = 986807992320.

The previous prime is 4601811916789. The next prime is 4601811916879. The reversal of 4601811916800 is 86191181064.

It is a happy number.

4601811916800 is a `hidden beast` number, since 460 + 18 + 1 + 19 + 168 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 44677785549 + ... + 44677785651.

Almost surely, 2^{4601811916800} is an apocalyptic number.

4601811916800 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 4601811916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10393890998400).

4601811916800 is an abundant number, since it is smaller than the sum of its proper divisors (16185970080000).

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

4601811916800 is an equidigital number, since it uses as much as digits as its factorization.

4601811916800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The spelling of 4601811916800 in words is "four trillion, six hundred one billion, eight hundred eleven million, nine hundred sixteen thousand, eight hundred".