4142579013664 has 72 divisors (see below), whose sum is σ = 10092940381440. Its totient is φ = 1638822451968.

The previous prime is 4142579013649. The next prime is 4142579013707. The reversal of 4142579013664 is 4663109752414.

It is a super-4 number, since 4×4142579013664⁴ (a number of 52 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54677104 + ... + 54752815.

It is an arithmetic number, because the mean of its divisors is an integer number (140179727520).

Almost surely, 2^{4142579013664} is an apocalyptic number.

It is an amenable number.

4142579013664 is an abundant number, since it is smaller than the sum of its proper divisors (5950361367776).

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

4142579013664 is a wasteful number, since it uses less digits than its factorization.

4142579013664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109429962 (or 109429941 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 52.

The spelling of 4142579013664 in words is "four trillion, one hundred forty-two billion, five hundred seventy-nine million, thirteen thousand, six hundred sixty-four".