310113545040 has 240 divisors, whose sum is σ = 1129109763600. Its totient is φ = 75822981120.

The previous prime is 310113545023. The next prime is 310113545083. The reversal of 310113545040 is 40545311013.

It is a happy number.

310113545040 is a `hidden beast` number, since 3 + 1 + 0 + 113 + 545 + 0 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 53599658256 + 256513886784 = 231516^2 + 506472^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×310113545040² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 310113544995 and 310113545013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1283460 + ... + 1505820.

It is an arithmetic number, because the mean of its divisors is an integer number (4704624015).

Almost surely, 2^310113545040 is an apocalyptic number.

310113545040 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 310113545040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564554881800).

310113545040 is an abundant number, since it is smaller than the sum of its proper divisors (818996218560).

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

310113545040 is a wasteful number, since it uses less digits than its factorization.

310113545040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222542 (or 222533 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 310113545040 its reverse (40545311013), we get a palindrome (350658856053).

The spelling of 310113545040 in words is "three hundred ten billion, one hundred thirteen million, five hundred forty-five thousand, forty".