4456795222440 has 384 divisors, whose sum is σ = 16414747614720. Its totient is φ = 1078579411200.

The previous prime is 4456795222427. The next prime is 4456795222441. The reversal of 4456795222440 is 442225976544.

4456795222440 is a `hidden beast` number, since 4 + 4 + 5 + 6 + 79 + 522 + 2 + 4 + 40 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4456795222441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 62726535 + ... + 62797545.

It is an arithmetic number, because the mean of its divisors is an integer number (42746738580).

Almost surely, 2^{4456795222440} is an apocalyptic number.

4456795222440 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 4456795222440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8207373807360).

4456795222440 is an abundant number, since it is smaller than the sum of its proper divisors (11957952392280).

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

4456795222440 is a wasteful number, since it uses less digits than its factorization.

4456795222440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71635 (or 71619 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 54.

The spelling of 4456795222440 in words is "four trillion, four hundred fifty-six billion, seven hundred ninety-five million, two hundred twenty-two thousand, four hundred forty".