4146235440160 has 192 divisors, whose sum is σ = 10754178140160. Its totient is φ = 1498127518720.

The previous prime is 4146235440107. The next prime is 4146235440163. The reversal of 4146235440160 is 610445326414.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (4146235440163) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 196428327 + ... + 196449433.

It is an arithmetic number, because the mean of its divisors is an integer number (56011344480).

Almost surely, 2^{4146235440160} is an apocalyptic number.

4146235440160 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 4146235440160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5377089070080).

4146235440160 is an abundant number, since it is smaller than the sum of its proper divisors (6607942700000).

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

4146235440160 is a wasteful number, since it uses less digits than its factorization.

4146235440160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21839 (or 21831 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 40.

The spelling of 4146235440160 in words is "four trillion, one hundred forty-six billion, two hundred thirty-five million, four hundred forty thousand, one hundred sixty".