4602212440100 has 144 divisors (see below), whose sum is σ = 10938363399936. Its totient is φ = 1666836864000.

The previous prime is 4602212440051. The next prime is 4602212440129. The reversal of 4602212440100 is 10442122064.

It is a super-2 number, since 2×4602212440100² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4602212440100.

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 47 ways as a sum of consecutive naturals, for example, 292511834 + ... + 292527566.

It is an arithmetic number, because the mean of its divisors is an integer number (75960856944).

Almost surely, 2^{4602212440100} 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 4602212440100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5469181699968).

4602212440100 is an abundant number, since it is smaller than the sum of its proper divisors (6336150959836).

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

4602212440100 is a wasteful number, since it uses less digits than its factorization.

4602212440100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16806 (or 16799 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 4602212440100 its reverse (10442122064), we get a palindrome (4612654562164).

The spelling of 4602212440100 in words is "four trillion, six hundred two billion, two hundred twelve million, four hundred forty thousand, one hundred".