30812315040 has 288 divisors, whose sum is σ = 119897393616. Its totient is φ = 7138344960.

The previous prime is 30812314969. The next prime is 30812315041. The reversal of 30812315040 is 4051321803.

It is a happy number.

30812315040 is a `hidden beast` number, since 30 + 8 + 123 + 1 + 504 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 22575663504 + 8236651536 = 150252^2 + 90756^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×30812315040³ (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30812314995 and 30812315013.

It is not an unprimeable number, because it can be changed into a prime (30812315041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 269830 + ... + 366650.

Almost surely, 2^30812315040 is an apocalyptic number.

30812315040 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 30812315040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59948696808).

30812315040 is an abundant number, since it is smaller than the sum of its proper divisors (89085078576).

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

30812315040 is a wasteful number, since it uses less digits than its factorization.

30812315040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96872 (or 96861 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 30812315040 its reverse (4051321803), we get a palindrome (34863636843).

The spelling of 30812315040 in words is "thirty billion, eight hundred twelve million, three hundred fifteen thousand, forty".