4322402241000 has 256 divisors, whose sum is σ = 13607534304000. Its totient is φ = 1142274355200.

The previous prime is 4322402240983. The next prime is 4322402241011. The reversal of 4322402241000 is 1422042234.

It is a super-2 number, since 2×4322402241000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 63 ways as a sum of consecutive naturals, for example, 237263892 + ... + 237282108.

It is an arithmetic number, because the mean of its divisors is an integer number (53154430875).

Almost surely, 2^{4322402241000} is an apocalyptic number.

4322402241000 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 4322402241000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6803767152000).

4322402241000 is an abundant number, since it is smaller than the sum of its proper divisors (9285132063000).

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

4322402241000 is a wasteful number, since it uses less digits than its factorization.

4322402241000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18949 (or 18935 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 4322402241000 its reverse (1422042234), we get a palindrome (4323824283234).

The spelling of 4322402241000 in words is "four trillion, three hundred twenty-two billion, four hundred two million, two hundred forty-one thousand".