4404997779840 has 1792 divisors, whose sum is σ = 18798573104640. Its totient is φ = 965667225600.

The previous prime is 4404997779839. The next prime is 4404997779841. The reversal of 4404997779840 is 489777994044.

4404997779840 is a `hidden beast` number, since 4 + 4 + 0 + 499 + 7 + 7 + 7 + 98 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (4404997779839) and next prime (4404997779841).

It is a super-2 number, since 2×4404997779840² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4404997779841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 8971481995 + ... + 8971482485.

It is an arithmetic number, because the mean of its divisors is an integer number (10490275170).

Almost surely, 2^{4404997779840} is an apocalyptic number.

4404997779840 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 4404997779840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9399286552320).

4404997779840 is an abundant number, since it is smaller than the sum of its proper divisors (14393575324800).

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

4404997779840 is an equidigital number, since it uses as much as digits as its factorization.

4404997779840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 512096256, while the sum is 72.

The spelling of 4404997779840 in words is "four trillion, four hundred four billion, nine hundred ninety-seven million, seven hundred seventy-nine thousand, eight hundred forty".