340204413120 has 336 divisors, whose sum is σ = 1278605459040. Its totient is φ = 76129320960.

The previous prime is 340204413119. The next prime is 340204413137. The reversal of 340204413120 is 21314402043.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1397436 + ... + 1622724.

It is an arithmetic number, because the mean of its divisors is an integer number (3805373390).

Almost surely, 2^340204413120 is an apocalyptic number.

340204413120 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 340204413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639302729520).

340204413120 is an abundant number, since it is smaller than the sum of its proper divisors (938401045920).

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

340204413120 is a wasteful number, since it uses less digits than its factorization.

340204413120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225344 (or 225323 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 340204413120 its reverse (21314402043), we get a palindrome (361518815163).

The spelling of 340204413120 in words is "three hundred forty billion, two hundred four million, four hundred thirteen thousand, one hundred twenty".