4197315077670 has 256 divisors, whose sum is σ = 12388521148416. Its totient is φ = 896156352000.

The previous prime is 4197315077629. The next prime is 4197315077689. The reversal of 4197315077670 is 767705137914.

It is a happy number.

4197315077670 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4197315077670² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4197315077670.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9220029 + ... + 9664551.

It is an arithmetic number, because the mean of its divisors is an integer number (48392660736).

Almost surely, 2^{4197315077670} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4197315077670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6194260574208).

4197315077670 is an abundant number, since it is smaller than the sum of its proper divisors (8191206070746).

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

4197315077670 is a wasteful number, since it uses less digits than its factorization.

4197315077670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444659.

The product of its (nonzero) digits is 7779240, while the sum is 57.

The spelling of 4197315077670 in words is "four trillion, one hundred ninety-seven billion, three hundred fifteen million, seventy-seven thousand, six hundred seventy".