31994893440 has 192 divisors, whose sum is σ = 116297625600. Its totient is φ = 8082892800.

The previous prime is 31994893439. The next prime is 31994893453. The reversal of 31994893440 is 4439849913.

31994893440 is a `hidden beast` number, since 3 + 1 + 99 + 489 + 34 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36736 + ... + 255615.

It is an arithmetic number, because the mean of its divisors is an integer number (605716800).

Almost surely, 2^31994893440 is an apocalyptic number.

31994893440 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 31994893440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58148812800).

31994893440 is an abundant number, since it is smaller than the sum of its proper divisors (84302732160).

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

31994893440 is a wasteful number, since it uses less digits than its factorization.

31994893440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292395 (or 292380 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 31994893440 in words is "thirty-one billion, nine hundred ninety-four million, eight hundred ninety-three thousand, four hundred forty".