31138286040 has 576 divisors, whose sum is σ = 112975948800. Its totient is φ = 7426598400.

The previous prime is 31138285991. The next prime is 31138286083. The reversal of 31138286040 is 4068283113.

31138286040 is a `hidden beast` number, since 3 + 11 + 38 + 2 + 8 + 604 + 0 = 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 = 31138285986 and 31138286004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 237696775 + ... + 237696905.

It is an arithmetic number, because the mean of its divisors is an integer number (196138800).

Almost surely, 2^31138286040 is an apocalyptic number.

31138286040 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 31138286040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56487974400).

31138286040 is an abundant number, since it is smaller than the sum of its proper divisors (81837662760).

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

31138286040 is a wasteful number, since it uses less digits than its factorization.

31138286040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 31138286040 in words is "thirty-one billion, one hundred thirty-eight million, two hundred eighty-six thousand, forty".