4940790027264 has 2112 divisors, whose sum is σ = 19143910822400. Its totient is φ = 1264146186240.

The previous prime is 4940790027259. The next prime is 4940790027281. The reversal of 4940790027264 is 4627200970494.

4940790027264 is a `hidden beast` number, since 494 + 0 + 7 + 90 + 0 + 2 + 7 + 2 + 64 = 666.

It is a super-2 number, since 2×4940790027264² (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 self number, because there is not a number n which added to its sum of digits gives 4940790027264.

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 191 ways as a sum of consecutive naturals, for example, 67682055132 + ... + 67682055204.

Almost surely, 2^{4940790027264} 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 4940790027264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9571955411200).

4940790027264 is an abundant number, since it is smaller than the sum of its proper divisors (14203120795136).

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

4940790027264 is an equidigital number, since it uses as much as digits as its factorization.

4940790027264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 4940790027264 in words is "four trillion, nine hundred forty billion, seven hundred ninety million, twenty-seven thousand, two hundred sixty-four".