314131677474340 has 384 divisors, whose sum is σ = 802339756646400. Its totient is φ = 102004540323840.

The previous prime is 314131677474331. The next prime is 314131677474361. The reversal of 314131677474340 is 43474776131413.

It is a super-2 number, since 2×314131677474340² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2261774539 + ... + 2261913421.

It is an arithmetic number, because the mean of its divisors is an integer number (2089426449600).

Almost surely, 2^{314131677474340} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314131677474340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401169878323200).

314131677474340 is an abundant number, since it is smaller than the sum of its proper divisors (488208079172060).

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

314131677474340 is a wasteful number, since it uses less digits than its factorization.

314131677474340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139395 (or 139393 counting only the distinct ones).

The product of its (nonzero) digits is 14224896, while the sum is 55.

The spelling of 314131677474340 in words is "three hundred fourteen trillion, one hundred thirty-one billion, six hundred seventy-seven million, four hundred seventy-four thousand, three hundred forty".