4461794426880 has 1824 divisors, whose sum is σ = 19278997678080. Its totient is φ = 975049850880.

The previous prime is 4461794426863. The next prime is 4461794426891. The reversal of 4461794426880 is 886244971644.

4461794426880 is a `hidden beast` number, since 4 + 4 + 61 + 79 + 4 + 426 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53756559319 + ... + 53756559401.

It is an arithmetic number, because the mean of its divisors is an integer number (10569625920).

Almost surely, 2^{4461794426880} is an apocalyptic number.

4461794426880 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 4461794426880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9639498839040).

4461794426880 is an abundant number, since it is smaller than the sum of its proper divisors (14817203251200).

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

4461794426880 is an frugal number, since it uses more digits than its factorization.

4461794426880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 63.

The spelling of 4461794426880 in words is "four trillion, four hundred sixty-one billion, seven hundred ninety-four million, four hundred twenty-six thousand, eight hundred eighty".