436216166400 has 1152 divisors, whose sum is σ = 1758787430400. Its totient is φ = 93162700800.

The previous prime is 436216166389. The next prime is 436216166401. The reversal of 436216166400 is 4661612634.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (436216166401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2676172719 + ... + 2676172881.

It is an arithmetic number, because the mean of its divisors is an integer number (1526725200).

Almost surely, 2^436216166400 is an apocalyptic number.

436216166400 is a gapful number since it is divisible by the number (40) 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 436216166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879393715200).

436216166400 is an abundant number, since it is smaller than the sum of its proper divisors (1322571264000).

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

436216166400 is a wasteful number, since it uses less digits than its factorization.

436216166400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The spelling of 436216166400 in words is "four hundred thirty-six billion, two hundred sixteen million, one hundred sixty-six thousand, four hundred".