7341451957040 has 320 divisors, whose sum is σ = 18864198864000. Its totient is φ = 2644650688512.

The previous prime is 7341451956991. The next prime is 7341451957061. The reversal of 7341451957040 is 407591541437.

It is a self number, because there is not a number n which added to its sum of digits gives 7341451957040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2381267339 + ... + 2381270421.

It is an arithmetic number, because the mean of its divisors is an integer number (58950621450).

Almost surely, 2^{7341451957040} 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 7341451957040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9432099432000).

7341451957040 is an abundant number, since it is smaller than the sum of its proper divisors (11522746906960).

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

7341451957040 is a wasteful number, since it uses less digits than its factorization.

7341451957040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3664 (or 3658 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 50.

The spelling of 7341451957040 in words is "seven trillion, three hundred forty-one billion, four hundred fifty-one million, nine hundred fifty-seven thousand, forty".