31432261431060 has 480 divisors, whose sum is σ = 117617762465280. Its totient is φ = 6870527972352.

The previous prime is 31432261431031. The next prime is 31432261431091. The reversal of 31432261431060 is 6013416223413.

31432261431060 is a `hidden beast` number, since 3 + 1 + 4 + 3 + 2 + 2 + 614 + 31 + 0 + 6 + 0 = 666.

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 (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1355469946 + ... + 1355493134.

It is an arithmetic number, because the mean of its divisors is an integer number (245037005136).

Almost surely, 2^{31432261431060} is an apocalyptic number.

31432261431060 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 31432261431060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58808881232640).

31432261431060 is an abundant number, since it is smaller than the sum of its proper divisors (86185501034220).

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

31432261431060 is a wasteful number, since it uses less digits than its factorization.

31432261431060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28437 (or 28426 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 31432261431060 its reverse (6013416223413), we get a palindrome (37445677654473).

The spelling of 31432261431060 in words is "thirty-one trillion, four hundred thirty-two billion, two hundred sixty-one million, four hundred thirty-one thousand, sixty".