212978414240 has 48 divisors (see below), whose sum is σ = 504416422440. Its totient is φ = 84978892800.

The previous prime is 212978414177. The next prime is 212978414249. The reversal of 212978414240 is 42414879212.

It can be written as a sum of positive squares in 4 ways, for example, as 208348428304 + 4629985936 = 456452^2 + 68044^2 .

It is a junction number, because it is equal to n+sod(n) for n = 212978414191 and 212978414200.

It is not an unprimeable number, because it can be changed into a prime (212978414249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1595585 + ... + 1723904.

Almost surely, 2^212978414240 is an apocalyptic number.

212978414240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212978414240 is an abundant number, since it is smaller than the sum of its proper divisors (291438008200).

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

212978414240 is a wasteful number, since it uses less digits than its factorization.

212978414240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3319905 (or 3319897 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 44.

The spelling of 212978414240 in words is "two hundred twelve billion, nine hundred seventy-eight million, four hundred fourteen thousand, two hundred forty".