421709217216 has 448 divisors, whose sum is σ = 1356805349376. Its totient is φ = 113069260800.

The previous prime is 421709217151. The next prime is 421709217217. The reversal of 421709217216 is 612712907124.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×421709217216³ (a number of 36 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421709217217) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 185528656 + ... + 185530928.

Almost surely, 2^421709217216 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 421709217216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678402674688).

421709217216 is an abundant number, since it is smaller than the sum of its proper divisors (935096132160).

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

421709217216 is a wasteful number, since it uses less digits than its factorization.

421709217216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2460 (or 2450 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The spelling of 421709217216 in words is "four hundred twenty-one billion, seven hundred nine million, two hundred seventeen thousand, two hundred sixteen".