340413010000 has 400 divisors, whose sum is σ = 971948077056. Its totient is φ = 113045184000.

The previous prime is 340413009949. The next prime is 340413010031. The reversal of 340413010000 is 10314043.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 352029517 + ... + 352030483.

Almost surely, 2^340413010000 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 340413010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485974038528).

340413010000 is an abundant number, since it is smaller than the sum of its proper divisors (631535067056).

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

340413010000 is a wasteful number, since it uses less digits than its factorization.

340413010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 340413010000 its reverse (10314043), we get a palindrome (340423324043).

The spelling of 340413010000 in words is "three hundred forty billion, four hundred thirteen million, ten thousand".