6241209408 has 280 divisors, whose sum is σ = 21252192192. Its totient is φ = 1774089216.

The previous prime is 6241209407. The next prime is 6241209427. The reversal of 6241209408 is 8049021426.

6241209408 is a `hidden beast` number, since 6 + 2 + 41 + 209 + 408 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6241209407) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10632091 + ... + 10632677.

Almost surely, 2^6241209408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6241209408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10626096096).

6241209408 is an abundant number, since it is smaller than the sum of its proper divisors (15010982784).

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

6241209408 is a wasteful number, since it uses less digits than its factorization.

6241209408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 6241209408 is about 79001.3253559711. The cubic root of 6241209408 is about 1841.1517489810.

The spelling of 6241209408 in words is "six billion, two hundred forty-one million, two hundred nine thousand, four hundred eight".