212407400016 has 480 divisors, whose sum is σ = 722010931200. Its totient is φ = 57014092800.

The previous prime is 212407399999. The next prime is 212407400021. The reversal of 212407400016 is 610004704212.

212407400016 is a `hidden beast` number, since 2 + 1 + 240 + 7 + 400 + 0 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 184541041 + ... + 184542191.

It is an arithmetic number, because the mean of its divisors is an integer number (1504189440).

Almost surely, 2^212407400016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212407400016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361005465600).

212407400016 is an abundant number, since it is smaller than the sum of its proper divisors (509603531184).

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

212407400016 is a wasteful number, since it uses less digits than its factorization.

212407400016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1367 (or 1358 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 212407400016 in words is "two hundred twelve billion, four hundred seven million, four hundred thousand, sixteen".