4026640246656 has 256 divisors, whose sum is σ = 11223960929280. Its totient is φ = 1276607692800.

The previous prime is 4026640246649. The next prime is 4026640246663. The reversal of 4026640246656 is 6566420466204.

It is an interprime number because it is at equal distance from previous prime (4026640246649) and next prime (4026640246663).

It is a junction number, because it is equal to n+sod(n) for n = 4026640246599 and 4026640246608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2258350341 + ... + 2258352123.

It is an arithmetic number, because the mean of its divisors is an integer number (43843597380).

Almost surely, 2^{4026640246656} is an apocalyptic number.

4026640246656 is a gapful number since it is divisible by the number (46) 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 4026640246656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5611980464640).

4026640246656 is an abundant number, since it is smaller than the sum of its proper divisors (7197320682624).

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

4026640246656 is a wasteful number, since it uses less digits than its factorization.

4026640246656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3125 (or 3113 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 51.

The spelling of 4026640246656 in words is "four trillion, twenty-six billion, six hundred forty million, two hundred forty-six thousand, six hundred fifty-six".