315520640424 has 384 divisors, whose sum is σ = 1048808217600. Its totient is φ = 84447774720.

The previous prime is 315520640411. The next prime is 315520640609. The reversal of 315520640424 is 424046025513.

315520640424 is a `hidden beast` number, since 3 + 1 + 5 + 5 + 2 + 0 + 640 + 4 + 2 + 4 = 666.

It is a super-3 number, since 3×315520640424³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 27366549 + ... + 27378075.

It is an arithmetic number, because the mean of its divisors is an integer number (2731271400).

Almost surely, 2^315520640424 is an apocalyptic number.

315520640424 is a gapful number since it is divisible by the number (34) 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 315520640424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524404108800).

315520640424 is an abundant number, since it is smaller than the sum of its proper divisors (733287577176).

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

315520640424 is a wasteful number, since it uses less digits than its factorization.

315520640424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11693 (or 11686 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 315520640424 its reverse (424046025513), we get a palindrome (739566665937).

The spelling of 315520640424 in words is "three hundred fifteen billion, five hundred twenty million, six hundred forty thousand, four hundred twenty-four".