2340401330400 has 576 divisors, whose sum is σ = 8807646274560. Its totient is φ = 528740352000.

The previous prime is 2340401330387. The next prime is 2340401330401. The reversal of 2340401330400 is 40331040432.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2340401330401) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1712070517 + ... + 1712071883.

It is an arithmetic number, because the mean of its divisors is an integer number (15291052560).

Almost surely, 2^{2340401330400} is an apocalyptic number.

2340401330400 is a gapful number since it is divisible by the number (20) 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 2340401330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4403823137280).

2340401330400 is an abundant number, since it is smaller than the sum of its proper divisors (6467244944160).

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

2340401330400 is a wasteful number, since it uses less digits than its factorization.

2340401330400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2507 (or 2494 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 2340401330400 its reverse (40331040432), we get a palindrome (2380732370832).

The spelling of 2340401330400 in words is "two trillion, three hundred forty billion, four hundred one million, three hundred thirty thousand, four hundred".