8241369840 has 640 divisors, whose sum is σ = 32637911040. Its totient is φ = 1893196800.

The previous prime is 8241369817. The next prime is 8241369853. The reversal of 8241369840 is 489631428.

It is a happy number.

8241369840 is a `hidden beast` number, since 8 + 241 + 369 + 8 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 49349437 + ... + 49349603.

It is an arithmetic number, because the mean of its divisors is an integer number (50996736).

Almost surely, 2^8241369840 is an apocalyptic number.

8241369840 is a gapful number since it is divisible by the number (80) 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 8241369840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16318955520).

8241369840 is an abundant number, since it is smaller than the sum of its proper divisors (24396541200).

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

8241369840 is a wasteful number, since it uses less digits than its factorization.

8241369840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 8241369840 is about 90781.9907250331. The cubic root of 8241369840 is about 2019.9151877602.

The spelling of 8241369840 in words is "eight billion, two hundred forty-one million, three hundred sixty-nine thousand, eight hundred forty".