31439041920 has 640 divisors, whose sum is σ = 131934005280. Its totient is φ = 7033651200.

The previous prime is 31439041873. The next prime is 31439041939. The reversal of 31439041920 is 2914093413.

31439041920 is a `hidden beast` number, since 31 + 439 + 0 + 4 + 192 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7411000 + ... + 7415240.

Almost surely, 2^31439041920 is an apocalyptic number.

31439041920 is a gapful number since it is divisible by the number (30) 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 31439041920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65967002640).

31439041920 is an abundant number, since it is smaller than the sum of its proper divisors (100494963360).

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

31439041920 is a wasteful number, since it uses less digits than its factorization.

31439041920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4296 (or 4275 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 31439041920 in words is "thirty-one billion, four hundred thirty-nine million, forty-one thousand, nine hundred twenty".