4197743746560 has 1920 divisors, whose sum is σ = 18361740773376. Its totient is φ = 862829936640.

The previous prime is 4197743746549. The next prime is 4197743746613. The reversal of 4197743746560 is 656473477914.

It is a happy number.

4197743746560 is a `hidden beast` number, since 4 + 1 + 9 + 77 + 43 + 7 + 465 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 191 ways as a sum of consecutive naturals, for example, 24264414634 + ... + 24264414806.

Almost surely, 2^{4197743746560} is an apocalyptic number.

4197743746560 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 4197743746560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9180870386688).

4197743746560 is an abundant number, since it is smaller than the sum of its proper divisors (14163997026816).

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

4197743746560 is a wasteful number, since it uses less digits than its factorization.

4197743746560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 106686720, while the sum is 63.

The spelling of 4197743746560 in words is "four trillion, one hundred ninety-seven billion, seven hundred forty-three million, seven hundred forty-six thousand, five hundred sixty".