4142036945664 has 216 divisors, whose sum is σ = 11983754109600. Its totient is φ = 1375918571520.

The previous prime is 4142036945663. The next prime is 4142036945677. The reversal of 4142036945664 is 4665496302414.

4142036945664 is a `hidden beast` number, since 4 + 1 + 42 + 0 + 36 + 9 + 4 + 566 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4142036945664.

It is not an unprimeable number, because it can be changed into a prime (4142036945663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1423868242 + ... + 1423871150.

It is an arithmetic number, because the mean of its divisors is an integer number (55480343100).

Almost surely, 2^{4142036945664} 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 4142036945664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5991877054800).

4142036945664 is an abundant number, since it is smaller than the sum of its proper divisors (7841717163936).

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

4142036945664 is a wasteful number, since it uses less digits than its factorization.

4142036945664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4851 (or 4834 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 4142036945664 in words is "four trillion, one hundred forty-two billion, thirty-six million, nine hundred forty-five thousand, six hundred sixty-four".