315541225433430 has 384 divisors, whose sum is σ = 877206982417920. Its totient is φ = 80706239827200.

The previous prime is 315541225433411. The next prime is 315541225433513. The reversal of 315541225433430 is 34334522145513.

315541225433430 is a `hidden beast` number, since 3 + 1 + 5 + 5 + 41 + 2 + 2 + 543 + 34 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 28993950769 + ... + 28993961651.

It is an arithmetic number, because the mean of its divisors is an integer number (2284393183380).

Almost surely, 2^{315541225433430} is an apocalyptic number.

315541225433430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 315541225433430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438603491208960).

315541225433430 is an abundant number, since it is smaller than the sum of its proper divisors (561665756984490).

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

315541225433430 is a wasteful number, since it uses less digits than its factorization.

315541225433430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11945 (or 11908 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 45.

Adding to 315541225433430 its reverse (34334522145513), we get a palindrome (349875747578943).

The spelling of 315541225433430 in words is "three hundred fifteen trillion, five hundred forty-one billion, two hundred twenty-five million, four hundred thirty-three thousand, four hundred thirty".