4477800579840 has 432 divisors, whose sum is σ = 18361755379968. Its totient is φ = 1023496777728.

The previous prime is 4477800579839. The next prime is 4477800579881. The reversal of 4477800579840 is 489750087744.

4477800579840 is a `hidden beast` number, since 4 + 477 + 80 + 0 + 5 + 7 + 9 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 1148979 + ... + 3205581.

Almost surely, 2^{4477800579840} is an apocalyptic number.

4477800579840 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 4477800579840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9180877689984).

4477800579840 is an abundant number, since it is smaller than the sum of its proper divisors (13883954800128).

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

4477800579840 is an equidigital number, since it uses as much as digits as its factorization.

4477800579840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2056646 (or 2056620 counting only the distinct ones).

The product of its (nonzero) digits is 63221760, while the sum is 63.

The spelling of 4477800579840 in words is "four trillion, four hundred seventy-seven billion, eight hundred million, five hundred seventy-nine thousand, eight hundred forty".