4164140490624 has 96 divisors (see below), whose sum is σ = 11986815640800. Its totient is φ = 1387575650304.

The previous prime is 4164140490623. The next prime is 4164140490637. The reversal of 4164140490624 is 4260940414614.

It is a happy number.

4164140490624 is a `hidden beast` number, since 4 + 1 + 6 + 4 + 14 + 0 + 4 + 9 + 0 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 4164140490624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4164140490623) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2789817 + ... + 4013895.

It is an arithmetic number, because the mean of its divisors is an integer number (124862662925).

Almost surely, 2^{4164140490624} 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 4164140490624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5993407820400).

4164140490624 is an abundant number, since it is smaller than the sum of its proper divisors (7822675150176).

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

4164140490624 is a wasteful number, since it uses less digits than its factorization.

4164140490624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1227052 (or 1227037 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 4164140490624 in words is "four trillion, one hundred sixty-four billion, one hundred forty million, four hundred ninety thousand, six hundred twenty-four".