31441434134040 has 256 divisors, whose sum is σ = 119786618880000. Its totient is φ = 7186029903360.

The previous prime is 31441434133969. The next prime is 31441434134053. The reversal of 31441434134040 is 4043143414413.

31441434134040 is a `hidden beast` number, since 3 + 1 + 441 + 43 + 4 + 134 + 0 + 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 = 31441434133986 and 31441434134004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 96597970 + ... + 96922910.

It is an arithmetic number, because the mean of its divisors is an integer number (467916480000).

Almost surely, 2^{31441434134040} is an apocalyptic number.

31441434134040 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 31441434134040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59893309440000).

31441434134040 is an abundant number, since it is smaller than the sum of its proper divisors (88345184745960).

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

31441434134040 is a wasteful number, since it uses less digits than its factorization.

31441434134040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337767 (or 337757 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 31441434134040 its reverse (4043143414413), we get a palindrome (35484577548453).

The spelling of 31441434134040 in words is "thirty-one trillion, four hundred forty-one billion, four hundred thirty-four million, one hundred thirty-four thousand, forty".