312424432202340 has 36 divisors (see below), whose sum is σ = 947687444347644. Its totient is φ = 83313181920576.

The previous prime is 312424432202329. The next prime is 312424432202371. The reversal of 312424432202340 is 43202234424213.

312424432202340 is a `hidden beast` number, since 3 + 1 + 2 + 4 + 2 + 443 + 2 + 202 + 3 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 99703140641316 + 212721291561024 = 9985146^2 + 14584968^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×312424432202340³ (a number of 44 digits) contains 333 as substring.

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 = 312424432202295 and 312424432202304.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 867845644827 + ... + 867845645186.

It is an arithmetic number, because the mean of its divisors is an integer number (26324651231879).

Almost surely, 2^{312424432202340} is an apocalyptic number.

312424432202340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312424432202340 is an abundant number, since it is smaller than the sum of its proper divisors (635263012145304).

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

312424432202340 is a wasteful number, since it uses less digits than its factorization.

312424432202340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1735691290028 (or 1735691290023 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 312424432202340 its reverse (43202234424213), we get a palindrome (355626666626553).

The spelling of 312424432202340 in words is "three hundred twelve trillion, four hundred twenty-four billion, four hundred thirty-two million, two hundred two thousand, three hundred forty".