340001425906128 has 480 divisors, whose sum is σ = 1104368120773632. Its totient is φ = 95638351104000.

The previous prime is 340001425906097. The next prime is 340001425906139. The reversal of 340001425906128 is 821609524100043.

340001425906128 is a `hidden beast` number, since 3 + 4 + 0 + 0 + 0 + 1 + 4 + 25 + 9 + 0 + 612 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 167736272251 + ... + 167736274277.

Almost surely, 2^{340001425906128} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340001425906128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552184060386816).

340001425906128 is an abundant number, since it is smaller than the sum of its proper divisors (764366694867504).

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

340001425906128 is a wasteful number, since it uses less digits than its factorization.

340001425906128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5143 (or 5134 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 340001425906128 in words is "three hundred forty trillion, one billion, four hundred twenty-five million, nine hundred six thousand, one hundred twenty-eight".