4164302499840 has 1248 divisors, whose sum is σ = 17289830154240. Its totient is φ = 931442982912.

The previous prime is 4164302499829. The next prime is 4164302499887. The reversal of 4164302499840 is 489942034614.

4164302499840 is a `hidden beast` number, since 41 + 6 + 4 + 30 + 2 + 499 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 10872852289 + ... + 10872852671.

Almost surely, 2^{4164302499840} is an apocalyptic number.

4164302499840 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 4164302499840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8644915077120).

4164302499840 is an abundant number, since it is smaller than the sum of its proper divisors (13125527654400).

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

4164302499840 is an equidigital number, since it uses as much as digits as its factorization.

4164302499840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 4164302499840 in words is "four trillion, one hundred sixty-four billion, three hundred two million, four hundred ninety-nine thousand, eight hundred forty".