4224132101040 has 320 divisors, whose sum is σ = 14497146408960. Its totient is φ = 1013237821440.

The previous prime is 4224132101029. The next prime is 4224132101041. The reversal of 4224132101040 is 401012314224.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4224132101040.

It is not an unprimeable number, because it can be changed into a prime (4224132101041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7210174 + ... + 7773986.

It is an arithmetic number, because the mean of its divisors is an integer number (45303582528).

Almost surely, 2^{4224132101040} is an apocalyptic number.

4224132101040 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 4224132101040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7248573204480).

4224132101040 is an abundant number, since it is smaller than the sum of its proper divisors (10273014307920).

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

4224132101040 is a wasteful number, since it uses less digits than its factorization.

4224132101040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563932 (or 563926 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 4224132101040 its reverse (401012314224), we get a palindrome (4625144415264).

The spelling of 4224132101040 in words is "four trillion, two hundred twenty-four billion, one hundred thirty-two million, one hundred one thousand, forty".