31405163040 has 144 divisors (see below), whose sum is σ = 108679910976. Its totient is φ = 8256729600.

The previous prime is 31405163029. The next prime is 31405163081. The reversal of 31405163040 is 4036150413.

31405163040 is a `hidden beast` number, since 3 + 140 + 516 + 3 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 31405162995 and 31405163013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51346 + ... + 255825.

It is an arithmetic number, because the mean of its divisors is an integer number (754721604).

Almost surely, 2^31405163040 is an apocalyptic number.

31405163040 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 31405163040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54339955488).

31405163040 is an abundant number, since it is smaller than the sum of its proper divisors (77274747936).

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

31405163040 is a wasteful number, since it uses less digits than its factorization.

31405163040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307263 (or 307252 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 31405163040 in words is "thirty-one billion, four hundred five million, one hundred sixty-three thousand, forty".