315114102240 has 384 divisors, whose sum is σ = 1175559340032. Its totient is φ = 69431592960.

The previous prime is 315114102221. The next prime is 315114102257. The reversal of 315114102240 is 42201411513.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 315114102240.

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 63 ways as a sum of consecutive naturals, for example, 27388329 + ... + 27399831.

It is an arithmetic number, because the mean of its divisors is an integer number (3061352448).

Almost surely, 2^315114102240 is an apocalyptic number.

315114102240 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 315114102240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587779670016).

315114102240 is an abundant number, since it is smaller than the sum of its proper divisors (860445237792).

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

315114102240 is a wasteful number, since it uses less digits than its factorization.

315114102240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11822 (or 11814 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 315114102240 its reverse (42201411513), we get a palindrome (357315513753).

The spelling of 315114102240 in words is "three hundred fifteen billion, one hundred fourteen million, one hundred two thousand, two hundred forty".