312000440142330 has 48 divisors (see below), whose sum is σ = 811495805800680. Its totient is φ = 83169895686144.

The previous prime is 312000440142317. The next prime is 312000440142371. The reversal of 312000440142330 is 33241044000213.

312000440142330 is a `hidden beast` number, since 3 + 1 + 20 + 0 + 0 + 4 + 401 + 4 + 233 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 311199341750649 + 801098391681 = 17640843^2 + 895041^2 .

It is a junction number, because it is equal to n+sod(n) for n = 312000440142294 and 312000440142303.

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, 629369295 + ... + 629864834.

Almost surely, 2^{312000440142330} is an apocalyptic number.

312000440142330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

312000440142330 is an abundant number, since it is smaller than the sum of its proper divisors (499495365658350).

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

312000440142330 is a wasteful number, since it uses less digits than its factorization.

312000440142330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1259236895 (or 1259236892 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 312000440142330 its reverse (33241044000213), we get a palindrome (345241484142543).

The spelling of 312000440142330 in words is "three hundred twelve trillion, four hundred forty million, one hundred forty-two thousand, three hundred thirty".