6241414256 has 240 divisors, whose sum is σ = 15958978560. Its totient is φ = 2312217600.

The previous prime is 6241414243. The next prime is 6241414261. The reversal of 6241414256 is 6524141426.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26114585 + ... + 26114823.

It is an arithmetic number, because the mean of its divisors is an integer number (66495744).

Almost surely, 2^6241414256 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 6241414256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7979489280).

6241414256 is an abundant number, since it is smaller than the sum of its proper divisors (9717564304).

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

6241414256 is a wasteful number, since it uses less digits than its factorization.

6241414256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 347 counting only the distinct ones).

The product of its digits is 46080, while the sum is 35.

The square root of 6241414256 is about 79002.6218299114. The cubic root of 6241414256 is about 1841.1718920923.

The spelling of 6241414256 in words is "six billion, two hundred forty-one million, four hundred fourteen thousand, two hundred fifty-six".