409248000000 has 1512 divisors, whose sum is σ = 1777943062350. Its totient is φ = 90316800000.

The previous prime is 409247999983. The next prime is 409248000001. The reversal of 409248000000 is 842904.

It can be written as a sum of positive squares in 7 ways, for example, as 213133648896 + 196114351104 = 461664^2 + 442848^2 .

It is not an unprimeable number, because it can be changed into a prime (409248000001) by changing a digit.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 14111999986 + ... + 14112000014.

Almost surely, 2^409248000000 is an apocalyptic number.

409248000000 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 409248000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888971531175).

409248000000 is an abundant number, since it is smaller than the sum of its proper divisors (1368695062350).

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

409248000000 is an frugal number, since it uses more digits than its factorization.

409248000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 409248000000 its reverse (842904), we get a palindrome (409248842904).

The spelling of 409248000000 in words is "four hundred nine billion, two hundred forty-eight million", and thus it is an aban number.