340411244240400 has 120 divisors (see below), whose sum is σ = 1090516721227680. Its totient is φ = 90770834565120.

The previous prime is 340411244240369. The next prime is 340411244240453. The reversal of 340411244240400 is 4042442114043.

It is a tau number, because it is divible by the number of its divisors (120).

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, 11253639 + ... + 28415961.

It is an arithmetic number, because the mean of its divisors is an integer number (9087639343564).

Almost surely, 2^{340411244240400} is an apocalyptic number.

340411244240400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

340411244240400 is an abundant number, since it is smaller than the sum of its proper divisors (750105476987280).

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

340411244240400 is a wasteful number, since it uses less digits than its factorization.

340411244240400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17178873 (or 17178862 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 340411244240400 its reverse (4042442114043), we get a palindrome (344453686354443).

The spelling of 340411244240400 in words is "three hundred forty trillion, four hundred eleven billion, two hundred forty-four million, two hundred forty thousand, four hundred".