31214444033340 has 216 divisors, whose sum is σ = 99012463084080. Its totient is φ = 7959292627968.

The previous prime is 31214444033321. The next prime is 31214444033389. The reversal of 31214444033340 is 4333044441213.

31214444033340 is a `hidden beast` number, since 3 + 1 + 2 + 144 + 440 + 3 + 33 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 31214444033295 and 31214444033304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 294081519 + ... + 294187641.

Almost surely, 2^{31214444033340} is an apocalyptic number.

31214444033340 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 31214444033340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49506231542040).

31214444033340 is an abundant number, since it is smaller than the sum of its proper divisors (67798019050740).

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

31214444033340 is a wasteful number, since it uses less digits than its factorization.

31214444033340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109273 (or 109245 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 31214444033340 its reverse (4333044441213), we get a palindrome (35547488474553).

The spelling of 31214444033340 in words is "thirty-one trillion, two hundred fourteen billion, four hundred forty-four million, thirty-three thousand, three hundred forty".