6294293053440 has 576 divisors, whose sum is σ = 24231576176640. Its totient is φ = 1362918113280.

The previous prime is 6294293053409. The next prime is 6294293053481. The reversal of 6294293053440 is 443503924926.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 261476605 + ... + 261500675.

It is an arithmetic number, because the mean of its divisors is an integer number (42068708640).

Almost surely, 2^{6294293053440} is an apocalyptic number.

6294293053440 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 6294293053440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12115788088320).

6294293053440 is an abundant number, since it is smaller than the sum of its proper divisors (17937283123200).

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

6294293053440 is an equidigital number, since it uses as much as digits as its factorization.

6294293053440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24139 (or 24107 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 51.

The spelling of 6294293053440 in words is "six trillion, two hundred ninety-four billion, two hundred ninety-three million, fifty-three thousand, four hundred forty".