209534406432 has 384 divisors, whose sum is σ = 628171407360. Its totient is φ = 60673536000.

The previous prime is 209534406401. The next prime is 209534406463. The reversal of 209534406432 is 234604435902.

It is an interprime number because it is at equal distance from previous prime (209534406401) and next prime (209534406463).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 834798307 + ... + 834798557.

It is an arithmetic number, because the mean of its divisors is an integer number (1635863040).

Almost surely, 2^209534406432 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 209534406432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314085703680).

209534406432 is an abundant number, since it is smaller than the sum of its proper divisors (418637000928).

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

209534406432 is a wasteful number, since it uses less digits than its factorization.

209534406432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 42.

The spelling of 209534406432 in words is "two hundred nine billion, five hundred thirty-four million, four hundred six thousand, four hundred thirty-two".