344000510440000 has 70 divisors (see below), whose sum is σ = 853009465824494. Its totient is φ = 137600204160000.

The previous prime is 344000510439977. The next prime is 344000510440031. The reversal of 344000510440000 is 44015000443.

It can be written as a sum of positive squares in 5 ways, for example, as 217221377818624 + 126779132621376 = 14738432^2 + 11259624^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4299966381 + ... + 4300046380.

Almost surely, 2^{344000510440000} is an apocalyptic number.

It is an amenable number.

344000510440000 is an abundant number, since it is smaller than the sum of its proper divisors (509008955384494).

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

344000510440000 is an frugal number, since it uses more digits than its factorization.

344000510440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8600012793 (or 8600012768 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 344000510440000 its reverse (44015000443), we get a palindrome (344044525440443).

The spelling of 344000510440000 in words is "three hundred forty-four trillion, five hundred ten million, four hundred forty thousand".