4461946999720 has 512 divisors, whose sum is σ = 12468931706880. Its totient is φ = 1404183306240.

The previous prime is 4461946999717. The next prime is 4461946999739. The reversal of 4461946999720 is 279996491644.

It is a Harshad number since it is a multiple of its sum of digits (70).

It is a self number, because there is not a number n which added to its sum of digits gives 4461946999720.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3264042477 + ... + 3264043843.

It is an arithmetic number, because the mean of its divisors is an integer number (24353382240).

Almost surely, 2^{4461946999720} is an apocalyptic number.

4461946999720 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 4461946999720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6234465853440).

4461946999720 is an abundant number, since it is smaller than the sum of its proper divisors (8006984707160).

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

4461946999720 is a wasteful number, since it uses less digits than its factorization.

4461946999720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1665 (or 1661 counting only the distinct ones).

The product of its (nonzero) digits is 211631616, while the sum is 70.

The spelling of 4461946999720 in words is "four trillion, four hundred sixty-one billion, nine hundred forty-six million, nine hundred ninety-nine thousand, seven hundred twenty".