212414141440 has 176 divisors, whose sum is σ = 525679818624. Its totient is φ = 82317312000.

The previous prime is 212414141413. The next prime is 212414141447. The reversal of 212414141440 is 44141414212.

It is a junction number, because it is equal to n+sod(n) for n = 212414141399 and 212414141408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212414141447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20920365 + ... + 20930515.

Almost surely, 2^212414141440 is an apocalyptic number.

212414141440 is a gapful number since it is divisible by the number (20) 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 212414141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262839909312).

212414141440 is an abundant number, since it is smaller than the sum of its proper divisors (313265677184).

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

212414141440 is a wasteful number, since it uses less digits than its factorization.

212414141440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10304 (or 10286 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

Adding to 212414141440 its reverse (44141414212), we get a palindrome (256555555652).

The spelling of 212414141440 in words is "two hundred twelve billion, four hundred fourteen million, one hundred forty-one thousand, four hundred forty".