4641222294324 has 1536 divisors, whose sum is σ = 16924645785600. Its totient is φ = 1072621440000.

The previous prime is 4641222294311. The next prime is 4641222294337. The reversal of 4641222294324 is 4234922221464.

4641222294324 is a `hidden beast` number, since 4 + 6 + 4 + 12 + 22 + 294 + 324 = 666.

It is an interprime number because it is at equal distance from previous prime (4641222294311) and next prime (4641222294337).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 4641222294324.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 24299593069 + ... + 24299593259.

It is an arithmetic number, because the mean of its divisors is an integer number (11018649600).

Almost surely, 2^{4641222294324} is an apocalyptic number.

4641222294324 is a gapful number since it is divisible by the number (44) 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 4641222294324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8462322892800).

4641222294324 is an abundant number, since it is smaller than the sum of its proper divisors (12283423491276).

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

4641222294324 is a wasteful number, since it uses less digits than its factorization.

4641222294324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 305 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 45.

The spelling of 4641222294324 in words is "four trillion, six hundred forty-one billion, two hundred twenty-two million, two hundred ninety-four thousand, three hundred twenty-four".