316953354240 has 448 divisors, whose sum is σ = 1131134745600. Its totient is φ = 84202094592.

The previous prime is 316953354239. The next prime is 316953354257. The reversal of 316953354240 is 42453359613.

316953354240 is a `hidden beast` number, since 3 + 1 + 6 + 9 + 53 + 354 + 240 = 666.

It is a super-3 number, since 3×316953354240³ (a number of 35 digits) contains 333 as substring.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 512040651 + ... + 512041269.

Almost surely, 2^316953354240 is an apocalyptic number.

316953354240 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 316953354240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565567372800).

316953354240 is an abundant number, since it is smaller than the sum of its proper divisors (814181391360).

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

316953354240 is an equidigital number, since it uses as much as digits as its factorization.

316953354240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 316953354240 in words is "three hundred sixteen billion, nine hundred fifty-three million, three hundred fifty-four thousand, two hundred forty".