4197389760 has 504 divisors, whose sum is σ = 16122731280. Its totient is φ = 1027768320.

The previous prime is 4197389737. The next prime is 4197389813. The reversal of 4197389760 is 679837914.

It is a happy number.

4197389760 is a `hidden beast` number, since 4 + 197 + 389 + 76 + 0 = 666.

4197389760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 4197389697 and 4197389706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 102375340 + ... + 102375380.

Almost surely, 2^4197389760 is an apocalyptic number.

4197389760 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 4197389760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8061365640).

4197389760 is an abundant number, since it is smaller than the sum of its proper divisors (11925341520).

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

4197389760 is a wasteful number, since it uses less digits than its factorization.

4197389760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The square root of 4197389760 is about 64787.2654153577. The cubic root of 4197389760 is about 1613.0943358071.

The spelling of 4197389760 in words is "four billion, one hundred ninety-seven million, three hundred eighty-nine thousand, seven hundred sixty".