31140987840 has 560 divisors, whose sum is σ = 119825719200. Its totient is φ = 7650091008.

The previous prime is 31140987833. The next prime is 31140987841. The reversal of 31140987840 is 4878904113.

It is a happy number.

It is a super-2 number, since 2×31140987840² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31140987841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18220906 + ... + 18222614.

Almost surely, 2^31140987840 is an apocalyptic number.

31140987840 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 31140987840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59912859600).

31140987840 is an abundant number, since it is smaller than the sum of its proper divisors (88684731360).

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

31140987840 is a wasteful number, since it uses less digits than its factorization.

31140987840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1794 (or 1775 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 31140987840 in words is "thirty-one billion, one hundred forty million, nine hundred eighty-seven thousand, eight hundred forty".