340240014101000 has 256 divisors, whose sum is σ = 859340588520960. Its totient is φ = 125343737625600.

The previous prime is 340240014100997. The next prime is 340240014101059. The reversal of 340240014101000 is 101410042043.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 12473499362 + ... + 12473526638.

It is an arithmetic number, because the mean of its divisors is an integer number (3356799173910).

Almost surely, 2^{340240014101000} 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 340240014101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429670294260480).

340240014101000 is an abundant number, since it is smaller than the sum of its proper divisors (519100574419960).

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

340240014101000 is a wasteful number, since it uses less digits than its factorization.

340240014101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29441 (or 29427 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 340240014101000 its reverse (101410042043), we get a palindrome (340341424143043).

The spelling of 340240014101000 in words is "three hundred forty trillion, two hundred forty billion, fourteen million, one hundred one thousand".