431212099267872 has 576 divisors, whose sum is σ = 1365496525411200. Its totient is φ = 128254840750080.

The previous prime is 431212099267871. The next prime is 431212099267969. The reversal of 431212099267872 is 278762990212134.

431212099267872 is a `hidden beast` number, since 4 + 3 + 1 + 212 + 0 + 99 + 267 + 8 + 72 = 666.

It is a super-3 number, since 3×431212099267872³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (431212099267871) 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, 5337469654 + ... + 5337550442.

It is an arithmetic number, because the mean of its divisors is an integer number (2370653689950).

Almost surely, 2^{431212099267872} 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 431212099267872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682748262705600).

431212099267872 is an abundant number, since it is smaller than the sum of its proper divisors (934284426143328).

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

431212099267872 is a wasteful number, since it uses less digits than its factorization.

431212099267872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81281 (or 81270 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 431212099267872 in words is "four hundred thirty-one trillion, two hundred twelve billion, ninety-nine million, two hundred sixty-seven thousand, eight hundred seventy-two".