312000401024340 has 192 divisors, whose sum is σ = 999860563451904. Its totient is φ = 71210219254272.

The previous prime is 312000401024293. The next prime is 312000401024387. The reversal of 312000401024340 is 43420104000213.

It is an interprime number because it is at equal distance from previous prime (312000401024293) and next prime (312000401024387).

It is a self number, because there is not a number n which added to its sum of digits gives 312000401024340.

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, 791688222 + ... + 792082218.

It is an arithmetic number, because the mean of its divisors is an integer number (5207607101312).

Almost surely, 2^{312000401024340} is an apocalyptic number.

312000401024340 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 312000401024340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499930281725952).

312000401024340 is an abundant number, since it is smaller than the sum of its proper divisors (687860162427564).

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

312000401024340 is a wasteful number, since it uses less digits than its factorization.

312000401024340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396766 (or 396764 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 312000401024340 its reverse (43420104000213), we get a palindrome (355420505024553).

The spelling of 312000401024340 in words is "three hundred twelve trillion, four hundred one million, twenty-four thousand, three hundred forty".