4609407098880 has 560 divisors, whose sum is σ = 16971631360200. Its totient is φ = 1195922423808.

The previous prime is 4609407098839. The next prime is 4609407098909. The reversal of 4609407098880 is 888907049064.

4609407098880 is a `hidden beast` number, since 4 + 60 + 9 + 407 + 0 + 98 + 8 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4085184761856 + 524222337024 = 2021184^2 + 724032^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 122738346 + ... + 122775894.

Almost surely, 2^{4609407098880} is an apocalyptic number.

4609407098880 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 4609407098880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8485815680100).

4609407098880 is an abundant number, since it is smaller than the sum of its proper divisors (12362224261320).

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

4609407098880 is an equidigital number, since it uses as much as digits as its factorization.

4609407098880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37629 (or 37596 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 4609407098880 in words is "four trillion, six hundred nine billion, four hundred seven million, ninety-eight thousand, eight hundred eighty".