437142707712 has 240 divisors, whose sum is σ = 1343725214832. Its totient is φ = 141774520320.

The previous prime is 437142707707. The next prime is 437142707731. The reversal of 437142707712 is 217707241734.

437142707712 is a `hidden beast` number, since 4 + 371 + 4 + 270 + 7 + 7 + 1 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4555912 + ... + 4650872.

Almost surely, 2^437142707712 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 437142707712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671862607416).

437142707712 is an abundant number, since it is smaller than the sum of its proper divisors (906582507120).

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

437142707712 is an frugal number, since it uses more digits than its factorization.

437142707712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95031 (or 95003 counting only the distinct ones).

The product of its (nonzero) digits is 460992, while the sum is 45.

The spelling of 437142707712 in words is "four hundred thirty-seven billion, one hundred forty-two million, seven hundred seven thousand, seven hundred twelve".