440313434034144 has 96 divisors (see below), whose sum is σ = 1261040271716736. Its totient is φ = 133413211691520.

The previous prime is 440313434034119. The next prime is 440313434034193. The reversal of 440313434034144 is 441430434313044.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 440313434034096 and 440313434034105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14260042 + ... + 32923785.

It is an arithmetic number, because the mean of its divisors is an integer number (13135836163716).

Almost surely, 2^{440313434034144} is an apocalyptic number.

440313434034144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

440313434034144 is an abundant number, since it is smaller than the sum of its proper divisors (820726837682592).

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

440313434034144 is a wasteful number, since it uses less digits than its factorization.

440313434034144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47192688 (or 47192680 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 42.

Adding to 440313434034144 its reverse (441430434313044), we get a palindrome (881743868347188).

The spelling of 440313434034144 in words is "four hundred forty trillion, three hundred thirteen billion, four hundred thirty-four million, thirty-four thousand, one hundred forty-four".