4429022948352 has 352 divisors, whose sum is σ = 13446199971840. Its totient is φ = 1439483166720.

The previous prime is 4429022948351. The next prime is 4429022948353. The reversal of 4429022948352 is 2538492209244.

4429022948352 is a `hidden beast` number, since 4 + 4 + 2 + 90 + 2 + 29 + 483 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (4429022948351) and next prime (4429022948353).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4429022948351) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 352146288 + ... + 352158864.

Almost surely, 2^{4429022948352} 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 4429022948352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6723099985920).

4429022948352 is an abundant number, since it is smaller than the sum of its proper divisors (9017177023488).

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

4429022948352 is a wasteful number, since it uses less digits than its factorization.

4429022948352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12924 (or 12900 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 4429022948352 in words is "four trillion, four hundred twenty-nine billion, twenty-two million, nine hundred forty-eight thousand, three hundred fifty-two".