4290920718336 has 1008 divisors, whose sum is σ = 15522713728704. Its totient is φ = 1160090615808.

The previous prime is 4290920718313. The next prime is 4290920718379. The reversal of 4290920718336 is 6338170290924.

4290920718336 is a `hidden beast` number, since 4 + 2 + 90 + 9 + 207 + 18 + 336 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×4290920718336² (a number of 26 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 5030387286 + ... + 5030388138.

It is an arithmetic number, because the mean of its divisors is an integer number (15399517588).

Almost surely, 2^{4290920718336} 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 4290920718336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7761356864352).

4290920718336 is an abundant number, since it is smaller than the sum of its proper divisors (11231793010368).

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

4290920718336 is an frugal number, since it uses more digits than its factorization.

4290920718336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 4290920718336 in words is "four trillion, two hundred ninety billion, nine hundred twenty million, seven hundred eighteen thousand, three hundred thirty-six".