440312670720 has 480 divisors, whose sum is σ = 1673274434832. Its totient is φ = 106335830016.

The previous prime is 440312670719. The next prime is 440312670871. The reversal of 440312670720 is 27076213044.

440312670720 is a `hidden beast` number, since 440 + 3 + 126 + 70 + 7 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 249056891136 + 191255779584 = 499056^2 + 437328^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15860692 + ... + 15888428.

Almost surely, 2^440312670720 is an apocalyptic number.

440312670720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440312670720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836637217416).

440312670720 is an abundant number, since it is smaller than the sum of its proper divisors (1232961764112).

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

440312670720 is a wasteful number, since it uses less digits than its factorization.

440312670720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27832 (or 27813 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

Adding to 440312670720 its reverse (27076213044), we get a palindrome (467388883764).

The spelling of 440312670720 in words is "four hundred forty billion, three hundred twelve million, six hundred seventy thousand, seven hundred twenty".