340304504400 has 360 divisors, whose sum is σ = 1350504893504. Its totient is φ = 77735116800.

The previous prime is 340304504399. The next prime is 340304504401. The reversal of 340304504400 is 4405403043.

It is an interprime number because it is at equal distance from previous prime (340304504399) and next prime (340304504401).

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340304504401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 53698032 + ... + 53704368.

Almost surely, 2^340304504400 is an apocalyptic number.

340304504400 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 340304504400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675252446752).

340304504400 is an abundant number, since it is smaller than the sum of its proper divisors (1010200389104).

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

340304504400 is a wasteful number, since it uses less digits than its factorization.

340304504400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8499 (or 8485 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

Adding to 340304504400 its reverse (4405403043), we get a palindrome (344709907443).

The spelling of 340304504400 in words is "three hundred forty billion, three hundred four million, five hundred four thousand, four hundred".