4197744720 has 960 divisors, whose sum is σ = 17782861824. Its totient is φ = 875888640.

The previous prime is 4197744673. The next prime is 4197744739. The reversal of 4197744720 is 274477914.

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 191 ways as a sum of consecutive naturals, for example, 113452542 + ... + 113452578.

Almost surely, 2^4197744720 is an apocalyptic number.

4197744720 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 4197744720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8891430912).

4197744720 is an abundant number, since it is smaller than the sum of its proper divisors (13585117104).

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

4197744720 is a wasteful number, since it uses less digits than its factorization.

4197744720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 4197744720 is about 64790.0047846888. The cubic root of 4197744720 is about 1613.1398059571.

The spelling of 4197744720 in words is "four billion, one hundred ninety-seven million, seven hundred forty-four thousand, seven hundred twenty".