413248218240 has 2048 divisors, whose sum is σ = 1758893875200. Its totient is φ = 80923852800.

The previous prime is 413248218221. The next prime is 413248218241. The reversal of 413248218240 is 42812842314.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (413248218241) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5820397405 + ... + 5820397475.

It is an arithmetic number, because the mean of its divisors is an integer number (858834900).

Almost surely, 2^413248218240 is an apocalyptic number.

413248218240 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 413248218240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879446937600).

413248218240 is an abundant number, since it is smaller than the sum of its proper divisors (1345645656960).

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

413248218240 is a wasteful number, since it uses less digits than its factorization.

413248218240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 39.

The spelling of 413248218240 in words is "four hundred thirteen billion, two hundred forty-eight million, two hundred eighteen thousand, two hundred forty".