212517407440 has 320 divisors, whose sum is σ = 575323176960. Its totient is φ = 72361175040.

The previous prime is 212517407429. The next prime is 212517407461. The reversal of 212517407440 is 44704715212.

It is a self number, because there is not a number n which added to its sum of digits gives 212517407440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 343323451 + ... + 343324069.

It is an arithmetic number, because the mean of its divisors is an integer number (1797884928).

Almost surely, 2^212517407440 is an apocalyptic number.

212517407440 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 212517407440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287661588480).

212517407440 is an abundant number, since it is smaller than the sum of its proper divisors (362805769520).

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

212517407440 is a wasteful number, since it uses less digits than its factorization.

212517407440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 37.

The spelling of 212517407440 in words is "two hundred twelve billion, five hundred seventeen million, four hundred seven thousand, four hundred forty".