4022628704640 has 4096 divisors, whose sum is σ = 19691320320000. Its totient is φ = 767851757568.

The previous prime is 4022628704597. The next prime is 4022628704659. The reversal of 4022628704640 is 464078262204.

4022628704640 is a `hidden beast` number, since 40 + 22 + 62 + 8 + 70 + 464 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 511 ways as a sum of consecutive naturals, for example, 48465406039 + ... + 48465406121.

It is an arithmetic number, because the mean of its divisors is an integer number (4807451250).

Almost surely, 2^{4022628704640} is an apocalyptic number.

4022628704640 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 4022628704640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9845660160000).

4022628704640 is an abundant number, since it is smaller than the sum of its proper divisors (15668691615360).

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

4022628704640 is a wasteful number, since it uses less digits than its factorization.

4022628704640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 4022628704640 in words is "four trillion, twenty-two billion, six hundred twenty-eight million, seven hundred four thousand, six hundred forty".