4197826560 has 480 divisors, whose sum is σ = 15099033600. Its totient is φ = 990904320.

The previous prime is 4197826553. The next prime is 4197826571. The reversal of 4197826560 is 656287914.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135413745 + ... + 135413775.

It is an arithmetic number, because the mean of its divisors is an integer number (31456320).

Almost surely, 2^4197826560 is an apocalyptic number.

4197826560 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 4197826560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7549516800).

4197826560 is an abundant number, since it is smaller than the sum of its proper divisors (10901207040).

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

4197826560 is a wasteful number, since it uses less digits than its factorization.

4197826560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The square root of 4197826560 is about 64790.6363605112. The cubic root of 4197826560 is about 1613.1502892454.

The spelling of 4197826560 in words is "four billion, one hundred ninety-seven million, eight hundred twenty-six thousand, five hundred sixty".