212026429440 has 1560 divisors, whose sum is σ = 944806294080. Its totient is φ = 44431441920.

The previous prime is 212026429403. The next prime is 212026429441. The reversal of 212026429440 is 44924620212.

212026429440 is a `hidden beast` number, since 2 + 1 + 2 + 0 + 2 + 642 + 9 + 4 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 212026429395 and 212026429404.

It is not an unprimeable number, because it can be changed into a prime (212026429441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6839562225 + ... + 6839562255.

Almost surely, 2^212026429440 is an apocalyptic number.

212026429440 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 212026429440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472403147040).

212026429440 is an abundant number, since it is smaller than the sum of its proper divisors (732779864640).

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

212026429440 is an equidigital number, since it uses as much as digits as its factorization.

212026429440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 212026429440 in words is "two hundred twelve billion, twenty-six million, four hundred twenty-nine thousand, four hundred forty".