316413134040 has 128 divisors (see below), whose sum is σ = 956607874560. Its totient is φ = 83722435584.

The previous prime is 316413134003. The next prime is 316413134041. The reversal of 316413134040 is 40431314613.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 316413133989 and 316413134007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (316413134041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63242179 + ... + 63247181.

It is an arithmetic number, because the mean of its divisors is an integer number (7473499020).

Almost surely, 2^316413134040 is an apocalyptic number.

316413134040 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 316413134040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478303937280).

316413134040 is an abundant number, since it is smaller than the sum of its proper divisors (640194740520).

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

316413134040 is a wasteful number, since it uses less digits than its factorization.

316413134040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9001 (or 8997 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 316413134040 its reverse (40431314613), we get a palindrome (356844448653).

The spelling of 316413134040 in words is "three hundred sixteen billion, four hundred thirteen million, one hundred thirty-four thousand, forty".