4164040520640 has 1344 divisors, whose sum is σ = 19893809295360. Its totient is φ = 771140321280.

The previous prime is 4164040520623. The next prime is 4164040520677. The reversal of 4164040520640 is 460250404614.

4164040520640 is a `hidden beast` number, since 4 + 1 + 6 + 4 + 0 + 4 + 0 + 5 + 2 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4164040520595 and 4164040520604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 83578617 + ... + 83628423.

It is an arithmetic number, because the mean of its divisors is an integer number (14801941440).

Almost surely, 2^{4164040520640} is an apocalyptic number.

4164040520640 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 4164040520640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9946904647680).

4164040520640 is an abundant number, since it is smaller than the sum of its proper divisors (15729768774720).

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

4164040520640 is a wasteful number, since it uses less digits than its factorization.

4164040520640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49890 (or 49877 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 4164040520640 in words is "four trillion, one hundred sixty-four billion, forty million, five hundred twenty thousand, six hundred forty".