340402608000 has 1536 divisors, whose sum is σ = 1571984668800. Its totient is φ = 71763148800.

The previous prime is 340402607983. The next prime is 340402608023. The reversal of 340402608000 is 806204043.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 275183382 + ... + 275184618.

Almost surely, 2^340402608000 is an apocalyptic number.

340402608000 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 340402608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785992334400).

340402608000 is an abundant number, since it is smaller than the sum of its proper divisors (1231582060800).

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

340402608000 is a wasteful number, since it uses less digits than its factorization.

340402608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 340402608000 in words is "three hundred forty billion, four hundred two million, six hundred eight thousand".