212887415040 has 576 divisors, whose sum is σ = 753763885056. Its totient is φ = 50974949376.

The previous prime is 212887415009. The next prime is 212887415047. The reversal of 212887415040 is 40514788212.

It is a junction number, because it is equal to n+sod(n) for n = 212887414983 and 212887415001.

It is not an unprimeable number, because it can be changed into a prime (212887415047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 128013249 + ... + 128014911.

It is an arithmetic number, because the mean of its divisors is an integer number (1308617856).

Almost surely, 2^212887415040 is an apocalyptic number.

212887415040 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 212887415040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376881942528).

212887415040 is an abundant number, since it is smaller than the sum of its proper divisors (540876470016).

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

212887415040 is a wasteful number, since it uses less digits than its factorization.

212887415040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1794 (or 1780 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 42.

The spelling of 212887415040 in words is "two hundred twelve billion, eight hundred eighty-seven million, four hundred fifteen thousand, forty".