440774455464 has 384 divisors, whose sum is σ = 1436944803840. Its totient is φ = 123978615552.

The previous prime is 440774455453. The next prime is 440774455483. The reversal of 440774455464 is 464554477044.

It is a happy number.

440774455464 is a `hidden beast` number, since 4 + 40 + 7 + 7 + 44 + 554 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 440774455464.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 448396717 + ... + 448397699.

It is an arithmetic number, because the mean of its divisors is an integer number (3742043760).

Almost surely, 2^440774455464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440774455464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718472401920).

440774455464 is an abundant number, since it is smaller than the sum of its proper divisors (996170348376).

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

440774455464 is a wasteful number, since it uses less digits than its factorization.

440774455464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1491 (or 1475 counting only the distinct ones).

The product of its (nonzero) digits is 30105600, while the sum is 54.

The spelling of 440774455464 in words is "four hundred forty billion, seven hundred seventy-four million, four hundred fifty-five thousand, four hundred sixty-four".