313821086040 has 1536 divisors, whose sum is σ = 1390970880000. Its totient is φ = 60692889600.

The previous prime is 313821086027. The next prime is 313821086057. The reversal of 313821086040 is 40680128313.

313821086040 is a `hidden beast` number, since 3 + 1 + 38 + 2 + 10 + 8 + 604 + 0 = 666.

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 = 313821085986 and 313821086004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1221093592 + ... + 1221093848.

It is an arithmetic number, because the mean of its divisors is an integer number (905580000).

Almost surely, 2^313821086040 is an apocalyptic number.

313821086040 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 313821086040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695485440000).

313821086040 is an abundant number, since it is smaller than the sum of its proper divisors (1077149793960).

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

313821086040 is a wasteful number, since it uses less digits than its factorization.

313821086040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 313821086040 in words is "three hundred thirteen billion, eight hundred twenty-one million, eighty-six thousand, forty".