315454221102240 has 576 divisors, whose sum is σ = 1212404255741952. Its totient is φ = 74017301299200.

The previous prime is 315454221102149. The next prime is 315454221102281. The reversal of 315454221102240 is 42201122454513.

315454221102240 is a `hidden beast` number, since 3 + 1 + 5 + 4 + 5 + 422 + 1 + 1 + 0 + 224 + 0 = 666.

It is a super-2 number, since 2×315454221102240² (a number of 30 digits) contains 22 as substring.

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 = 315454221102195 and 315454221102204.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 110532264 + ... + 113350296.

It is an arithmetic number, because the mean of its divisors is an integer number (2104868499552).

Almost surely, 2^{315454221102240} is an apocalyptic number.

315454221102240 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 315454221102240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606202127870976).

315454221102240 is an abundant number, since it is smaller than the sum of its proper divisors (896950034639712).

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

315454221102240 is a wasteful number, since it uses less digits than its factorization.

315454221102240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2818293 (or 2818282 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 315454221102240 its reverse (42201122454513), we get a palindrome (357655343556753).

The spelling of 315454221102240 in words is "three hundred fifteen trillion, four hundred fifty-four billion, two hundred twenty-one million, one hundred two thousand, two hundred forty".