7941457461280 has 384 divisors, whose sum is σ = 22729409740800. Its totient is φ = 2565371990016.

The previous prime is 7941457461151. The next prime is 7941457461307. The reversal of 7941457461280 is 821647541497.

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 63 ways as a sum of consecutive naturals, for example, 163788081 + ... + 163836559.

It is an arithmetic number, because the mean of its divisors is an integer number (59191171200).

Almost surely, 2^{7941457461280} is an apocalyptic number.

7941457461280 is a gapful number since it is divisible by the number (70) 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 7941457461280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11364704870400).

7941457461280 is an abundant number, since it is smaller than the sum of its proper divisors (14787952279520).

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

7941457461280 is a wasteful number, since it uses less digits than its factorization.

7941457461280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48664 (or 48656 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 58.

The spelling of 7941457461280 in words is "seven trillion, nine hundred forty-one billion, four hundred fifty-seven million, four hundred sixty-one thousand, two hundred eighty".