340141404400 has 120 divisors (see below), whose sum is σ = 935594296704. Its totient is φ = 116412230400.

The previous prime is 340141404329. The next prime is 340141404409. The reversal of 340141404400 is 4404141043.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340141404409) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1468515 + ... + 1684285.

Almost surely, 2^340141404400 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 340141404400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467797148352).

340141404400 is an abundant number, since it is smaller than the sum of its proper divisors (595452892304).

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

340141404400 is a wasteful number, since it uses less digits than its factorization.

340141404400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216359 (or 216348 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 340141404400 its reverse (4404141043), we get a palindrome (344545545443).

The spelling of 340141404400 in words is "three hundred forty billion, one hundred forty-one million, four hundred four thousand, four hundred".