212562790440 has 1024 divisors, whose sum is σ = 883104768000. Its totient is φ = 39512309760.

The previous prime is 212562790409. The next prime is 212562790477. The reversal of 212562790440 is 44097265212.

It is a happy number.

212562790440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 212562790392 and 212562790401.

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 255 ways as a sum of consecutive naturals, for example, 630749952 + ... + 630750288.

It is an arithmetic number, because the mean of its divisors is an integer number (862407000).

Almost surely, 2^212562790440 is an apocalyptic number.

212562790440 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 212562790440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441552384000).

212562790440 is an abundant number, since it is smaller than the sum of its proper divisors (670541977560).

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

212562790440 is a wasteful number, since it uses less digits than its factorization.

212562790440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 212562790440 in words is "two hundred twelve billion, five hundred sixty-two million, seven hundred ninety thousand, four hundred forty".