479544099840 has 264 divisors, whose sum is σ = 1789426039128. Its totient is φ = 118041477120.

The previous prime is 479544099767. The next prime is 479544099893. The reversal of 479544099840 is 48990445974.

479544099840 is a `hidden beast` number, since 4 + 7 + 9 + 544 + 0 + 9 + 9 + 84 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 325730304 + 479218369536 = 18048^2 + 692256^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 198780 + ... + 999300.

Almost surely, 2^479544099840 is an apocalyptic number.

479544099840 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 479544099840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894713019564).

479544099840 is an abundant number, since it is smaller than the sum of its proper divisors (1309881939288).

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

479544099840 is a wasteful number, since it uses less digits than its factorization.

479544099840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800565 (or 800544 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 479544099840 in words is "four hundred seventy-nine billion, five hundred forty-four million, ninety-nine thousand, eight hundred forty".