31672716042240 has 2688 divisors, whose sum is σ = 142849107118080. Its totient is φ = 6515592265728.

The previous prime is 31672716042193. The next prime is 31672716042277. The reversal of 31672716042240 is 4224061727613.

31672716042240 is a `hidden beast` number, since 3 + 1 + 6 + 7 + 27 + 160 + 422 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 56257044199 + ... + 56257044761.

Almost surely, 2^{31672716042240} is an apocalyptic number.

31672716042240 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 31672716042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71424553559040).

31672716042240 is an abundant number, since it is smaller than the sum of its proper divisors (111176391075840).

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

31672716042240 is a wasteful number, since it uses less digits than its factorization.

31672716042240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

Adding to 31672716042240 its reverse (4224061727613), we get a palindrome (35896777769853).

The spelling of 31672716042240 in words is "thirty-one trillion, six hundred seventy-two billion, seven hundred sixteen million, forty-two thousand, two hundred forty".