312455204043540 has 192 divisors, whose sum is σ = 918130634201088. Its totient is φ = 79317495129600.

The previous prime is 312455204043529. The next prime is 312455204043601. The reversal of 312455204043540 is 45340402554213.

It is a junction number, because it is equal to n+sod(n) for n = 312455204043492 and 312455204043501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13082067 + ... + 28214373.

It is an arithmetic number, because the mean of its divisors is an integer number (4781930386464).

Almost surely, 2^{312455204043540} is an apocalyptic number.

312455204043540 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 312455204043540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459065317100544).

312455204043540 is an abundant number, since it is smaller than the sum of its proper divisors (605675430157548).

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

312455204043540 is a wasteful number, since it uses less digits than its factorization.

312455204043540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15132558 (or 15132556 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 42.

Adding to 312455204043540 its reverse (45340402554213), we get a palindrome (357795606597753).

The spelling of 312455204043540 in words is "three hundred twelve trillion, four hundred fifty-five billion, two hundred four million, forty-three thousand, five hundred forty".