408098880000 has 1200 divisors, whose sum is σ = 1738952557056. Its totient is φ = 90132480000.

The previous prime is 408098879989. The next prime is 408098880001. The reversal of 408098880000 is 88890804.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (408098880001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 624959674 + ... + 624960326.

Almost surely, 2^408098880000 is an apocalyptic number.

408098880000 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 408098880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869476278528).

408098880000 is an abundant number, since it is smaller than the sum of its proper divisors (1330853677056).

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

408098880000 is an equidigital number, since it uses as much as digits as its factorization.

408098880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 408098880000 in words is "four hundred eight billion, ninety-eight million, eight hundred eighty thousand".