340315440402000 has 640 divisors, whose sum is σ = 1261591761530880. Its totient is φ = 77310564403200.

The previous prime is 340315440401999. The next prime is 340315440402019. The reversal of 340315440402000 is 204044513043.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 28504512031 + ... + 28504523969.

It is an arithmetic number, because the mean of its divisors is an integer number (1971237127392).

Almost surely, 2^{340315440402000} is an apocalyptic number.

340315440402000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340315440402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630795880765440).

340315440402000 is an abundant number, since it is smaller than the sum of its proper divisors (921276321128880).

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

340315440402000 is a wasteful number, since it uses less digits than its factorization.

340315440402000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16068 (or 16052 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 340315440402000 its reverse (204044513043), we get a palindrome (340519484915043).

The spelling of 340315440402000 in words is "three hundred forty trillion, three hundred fifteen billion, four hundred forty million, four hundred two thousand".