4157475731712 has 576 divisors, whose sum is σ = 12980217600000. Its totient is φ = 1310656241664.

The previous prime is 4157475731707. The next prime is 4157475731777. The reversal of 4157475731712 is 2171375747514.

4157475731712 is a `hidden beast` number, since 4 + 1 + 5 + 7 + 47 + 573 + 17 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4955274589 + ... + 4955275427.

It is an arithmetic number, because the mean of its divisors is an integer number (22535100000).

Almost surely, 2^{4157475731712} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4157475731712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6490108800000).

4157475731712 is an abundant number, since it is smaller than the sum of its proper divisors (8822741868288).

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

4157475731712 is a wasteful number, since it uses less digits than its factorization.

4157475731712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1371 (or 1351 counting only the distinct ones).

The product of its digits is 5762400, while the sum is 54.

The spelling of 4157475731712 in words is "four trillion, one hundred fifty-seven billion, four hundred seventy-five million, seven hundred thirty-one thousand, seven hundred twelve".