313412341440 has 168 divisors, whose sum is σ = 1093770624240. Its totient is φ = 75978721280.

The previous prime is 313412341439. The next prime is 313412341471. The reversal of 313412341440 is 44143214313.

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 = 313412341398 and 313412341407.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1232895 + ... + 1465214.

It is an arithmetic number, because the mean of its divisors is an integer number (6510539430).

Almost surely, 2^313412341440 is an apocalyptic number.

313412341440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313412341440 is an abundant number, since it is smaller than the sum of its proper divisors (780358282800).

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

313412341440 is a wasteful number, since it uses less digits than its factorization.

313412341440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2698151 (or 2698130 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 313412341440 its reverse (44143214313), we get a palindrome (357555555753).

The spelling of 313412341440 in words is "three hundred thirteen billion, four hundred twelve million, three hundred forty-one thousand, four hundred forty".