4212402107760 has 2880 divisors, whose sum is σ = 20064235806720. Its totient is φ = 794139033600.

The previous prime is 4212402107723. The next prime is 4212402107803. The reversal of 4212402107760 is 677012042124.

It is a super-3 number, since 3×4212402107760³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 16390669552 + ... + 16390669808.

It is an arithmetic number, because the mean of its divisors is an integer number (6966748544).

Almost surely, 2^{4212402107760} is an apocalyptic number.

4212402107760 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 4212402107760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10032117903360).

4212402107760 is an abundant number, since it is smaller than the sum of its proper divisors (15851833698960).

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

4212402107760 is a wasteful number, since it uses less digits than its factorization.

4212402107760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

Adding to 4212402107760 its reverse (677012042124), we get a palindrome (4889414149884).

The spelling of 4212402107760 in words is "four trillion, two hundred twelve billion, four hundred two million, one hundred seven thousand, seven hundred sixty".