6457941970242 has 256 divisors, whose sum is σ = 16104904704000. Its totient is φ = 1684279296000.

The previous prime is 6457941970229. The next prime is 6457941970243. The reversal of 6457941970242 is 2420791497546.

It is not an unprimeable number, because it can be changed into a prime (6457941970243) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4308166009 + ... + 4308167507.

It is an arithmetic number, because the mean of its divisors is an integer number (62909784000).

Almost surely, 2^{6457941970242} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6457941970242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8052452352000).

6457941970242 is an abundant number, since it is smaller than the sum of its proper divisors (9646962733758).

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

6457941970242 is a wasteful number, since it uses less digits than its factorization.

6457941970242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2337.

The product of its (nonzero) digits is 30481920, while the sum is 60.

The spelling of 6457941970242 in words is "six trillion, four hundred fifty-seven billion, nine hundred forty-one million, nine hundred seventy thousand, two hundred forty-two".