4146426542160 has 300 divisors, whose sum is σ = 16244969705172. Its totient is φ = 947754243072.

The previous prime is 4146426542131. The next prime is 4146426542173. The reversal of 4146426542160 is 612456246414.

4146426542160 is a `hidden beast` number, since 4 + 1 + 4 + 6 + 42 + 6 + 542 + 1 + 60 = 666.

4146426542160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2782744440336 + 1363682101824 = 1668156^2 + 1167768^2 .

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 59 ways as a sum of consecutive naturals, for example, 529444 + ... + 2927996.

Almost surely, 2^{4146426542160} is an apocalyptic number.

4146426542160 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 4146426542160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8122484852586).

4146426542160 is an abundant number, since it is smaller than the sum of its proper divisors (12098543163012).

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

4146426542160 is a wasteful number, since it uses less digits than its factorization.

4146426542160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2398600 (or 2398570 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 4146426542160 in words is "four trillion, one hundred forty-six billion, four hundred twenty-six million, five hundred forty-two thousand, one hundred sixty".