340433002053136 has 80 divisors (see below), whose sum is σ = 699821415156528. Its totient is φ = 159875101900800.

The previous prime is 340433002053091. The next prime is 340433002053139. The reversal of 340433002053136 is 631350200334043.

It can be written as a sum of positive squares in 8 ways, for example, as 168641635600 + 340264360417536 = 410660^2 + 18446256^2 .

It is a junction number, because it is equal to n+sod(n) for n = 340433002053095 and 340433002053104.

It is not an unprimeable number, because it can be changed into a prime (340433002053139) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1096837426 + ... + 1097147758.

Almost surely, 2^{340433002053136} 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 340433002053136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349910707578264).

340433002053136 is an abundant number, since it is smaller than the sum of its proper divisors (359388413103392).

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

340433002053136 is a wasteful number, since it uses less digits than its factorization.

340433002053136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318620 (or 318614 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 37.

Adding to 340433002053136 its reverse (631350200334043), we get a palindrome (971783202387179).

The spelling of 340433002053136 in words is "three hundred forty trillion, four hundred thirty-three billion, two million, fifty-three thousand, one hundred thirty-six".