340401142400 has 192 divisors, whose sum is σ = 965625472800. Its totient is φ = 117267148800.

The previous prime is 340401142369. The next prime is 340401142439. The reversal of 340401142400 is 4241104043.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 414314 + ... + 923286.

Almost surely, 2^340401142400 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 340401142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482812736400).

340401142400 is an abundant number, since it is smaller than the sum of its proper divisors (625224330400).

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

340401142400 is a wasteful number, since it uses less digits than its factorization.

340401142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509027 (or 509010 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 340401142400 its reverse (4241104043), we get a palindrome (344642246443).

The spelling of 340401142400 in words is "three hundred forty billion, four hundred one million, one hundred forty-two thousand, four hundred".