315535152240 has 1280 divisors, whose sum is σ = 1388756828160. Its totient is φ = 63959777280.

The previous prime is 315535152217. The next prime is 315535152307. The reversal of 315535152240 is 42251535513.

315535152240 is a `hidden beast` number, since 3 + 1 + 553 + 51 + 52 + 2 + 4 + 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 = 315535152195 and 315535152204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1935798399 + ... + 1935798561.

It is an arithmetic number, because the mean of its divisors is an integer number (1084966272).

Almost surely, 2^315535152240 is an apocalyptic number.

315535152240 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 315535152240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694378414080).

315535152240 is an abundant number, since it is smaller than the sum of its proper divisors (1073221675920).

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

315535152240 is a wasteful number, since it uses less digits than its factorization.

315535152240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

Adding to 315535152240 its reverse (42251535513), we get a palindrome (357786687753).

The spelling of 315535152240 in words is "three hundred fifteen billion, five hundred thirty-five million, one hundred fifty-two thousand, two hundred forty".