340040344314400 has 72 divisors (see below), whose sum is σ = 831464563643280. Its totient is φ = 135796402248960.

The previous prime is 340040344314383. The next prime is 340040344314569. The reversal of 340040344314400 is 4413443040043.

It is a super-2 number, since 2×340040344314400² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 342841174 + ... + 343831573.

It is an arithmetic number, because the mean of its divisors is an integer number (11548118939490).

Almost surely, 2^{340040344314400} is an apocalyptic number.

It is an amenable number.

340040344314400 is an abundant number, since it is smaller than the sum of its proper divisors (491424219328880).

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

340040344314400 is a wasteful number, since it uses less digits than its factorization.

340040344314400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686673386 (or 686673373 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 34.

Adding to 340040344314400 its reverse (4413443040043), we get a palindrome (344453787354443).

The spelling of 340040344314400 in words is "three hundred forty trillion, forty billion, three hundred forty-four million, three hundred fourteen thousand, four hundred".