42197177520 has 240 divisors, whose sum is σ = 149637446400. Its totient is φ = 10626992640.

The previous prime is 42197177459. The next prime is 42197177567. The reversal of 42197177520 is 2577179124.

42197177520 is a `hidden beast` number, since 4 + 21 + 97 + 17 + 7 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4523421 + ... + 4532739.

It is an arithmetic number, because the mean of its divisors is an integer number (623489360).

Almost surely, 2^42197177520 is an apocalyptic number.

42197177520 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 42197177520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74818723200).

42197177520 is an abundant number, since it is smaller than the sum of its proper divisors (107440268880).

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

42197177520 is a wasteful number, since it uses less digits than its factorization.

42197177520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9688 (or 9679 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 45.

The spelling of 42197177520 in words is "forty-two billion, one hundred ninety-seven million, one hundred seventy-seven thousand, five hundred twenty".