342040812486912 has 3456 divisors, whose sum is σ = 1390189711196160. Its totient is φ = 80944153804800.

The previous prime is 342040812486887. The next prime is 342040812486937. The reversal of 342040812486912 is 219684218040243.

342040812486912 is a `hidden beast` number, since 3 + 4 + 20 + 40 + 8 + 12 + 486 + 91 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (342040812486887) and next prime (342040812486937).

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 279673599133 + ... + 279673600355.

It is an arithmetic number, because the mean of its divisors is an integer number (402253967360).

Almost surely, 2^{342040812486912} is an apocalyptic number.

342040812486912 is a gapful number since it is divisible by the number (32) 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 342040812486912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695094855598080).

342040812486912 is an abundant number, since it is smaller than the sum of its proper divisors (1048148898709248).

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

342040812486912 is a wasteful number, since it uses less digits than its factorization.

342040812486912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1398 (or 1367 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 342040812486912 in words is "three hundred forty-two trillion, forty billion, eight hundred twelve million, four hundred eighty-six thousand, nine hundred twelve".