340024122400 has 36 divisors (see below), whose sum is σ = 830083890762. Its totient is φ = 136009648640.

The previous prime is 340024122377. The next prime is 340024122407. The reversal of 340024122400 is 4221420043.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 258865228944 + 81158893456 = 508788^2 + 284884^2 .

It is not an unprimeable number, because it can be changed into a prime (340024122407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 212514277 + ... + 212515876.

Almost surely, 2^340024122400 is an apocalyptic number.

It is an amenable number.

340024122400 is an abundant number, since it is smaller than the sum of its proper divisors (490059768362).

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

340024122400 is a wasteful number, since it uses less digits than its factorization.

340024122400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425030173 (or 425030160 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 340024122400 its reverse (4221420043), we get a palindrome (344245542443).

The spelling of 340024122400 in words is "three hundred forty billion, twenty-four million, one hundred twenty-two thousand, four hundred".