4157019740160 has 2688 divisors, whose sum is σ = 18562182912000. Its totient is φ = 872002879488.

The previous prime is 4157019740131. The next prime is 4157019740219. The reversal of 4157019740160 is 610479107514.

4157019740160 is a `hidden beast` number, since 4 + 1 + 57 + 0 + 197 + 401 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 52620503001 + ... + 52620503079.

It is an arithmetic number, because the mean of its divisors is an integer number (6905574000).

Almost surely, 2^{4157019740160} is an apocalyptic number.

4157019740160 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 4157019740160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9281091456000).

4157019740160 is an abundant number, since it is smaller than the sum of its proper divisors (14405163171840).

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

4157019740160 is an equidigital number, since it uses as much as digits as its factorization.

4157019740160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 4157019740160 in words is "four trillion, one hundred fifty-seven billion, nineteen million, seven hundred forty thousand, one hundred sixty".