6241546199040 has 448 divisors, whose sum is σ = 20181507333120. Its totient is φ = 1647024537600.

The previous prime is 6241546198981. The next prime is 6241546199047. The reversal of 6241546199040 is 409916451426.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6241546199047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6661201452 + ... + 6661202388.

It is an arithmetic number, because the mean of its divisors is an integer number (45048007440).

Almost surely, 2^{6241546199040} is an apocalyptic number.

6241546199040 is a gapful number since it is divisible by the number (60) 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 6241546199040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10090753666560).

6241546199040 is an abundant number, since it is smaller than the sum of its proper divisors (13939961134080).

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

6241546199040 is a wasteful number, since it uses less digits than its factorization.

6241546199040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1481 (or 1457 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The spelling of 6241546199040 in words is "six trillion, two hundred forty-one billion, five hundred forty-six million, one hundred ninety-nine thousand, forty".