440471763648 has 560 divisors, whose sum is σ = 1601809856064. Its totient is φ = 116811694080.

The previous prime is 440471763539. The next prime is 440471763679. The reversal of 440471763648 is 846367174044.

440471763648 is a `hidden beast` number, since 4 + 40 + 471 + 76 + 3 + 64 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 440471763594 and 440471763603.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 45028518 + ... + 45038298.

Almost surely, 2^440471763648 is an apocalyptic number.

440471763648 is a gapful number since it is divisible by the number (48) 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 440471763648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800904928032).

440471763648 is an abundant number, since it is smaller than the sum of its proper divisors (1161338092416).

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

440471763648 is a wasteful number, since it uses less digits than its factorization.

440471763648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9902 (or 9883 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 440471763648 in words is "four hundred forty billion, four hundred seventy-one million, seven hundred sixty-three thousand, six hundred forty-eight".