340124002400 has 288 divisors, whose sum is σ = 1039275982080. Its totient is φ = 105817835520.

The previous prime is 340124002399. The next prime is 340124002417. The reversal of 340124002400 is 4200421043.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 4255607 + ... + 4334793.

It is an arithmetic number, because the mean of its divisors is an integer number (3608597160).

Almost surely, 2^340124002400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340124002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519637991040).

340124002400 is an abundant number, since it is smaller than the sum of its proper divisors (699151979680).

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

340124002400 is a wasteful number, since it uses less digits than its factorization.

340124002400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79286 (or 79273 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 340124002400 its reverse (4200421043), we get a palindrome (344324423443).

The spelling of 340124002400 in words is "three hundred forty billion, one hundred twenty-four million, two thousand, four hundred".