41473601257600 has 384 divisors, whose sum is σ = 104579735040000. Its totient is φ = 16248904089600.

The previous prime is 41473601257559. The next prime is 41473601257601. The reversal of 41473601257600 is 675210637414.

It is not an unprimeable number, because it can be changed into a prime (41473601257601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21679874244 + ... + 21679876156.

It is an arithmetic number, because the mean of its divisors is an integer number (272343060000).

Almost surely, 2^{41473601257600} is an apocalyptic number.

41473601257600 is a gapful number since it is divisible by the number (40) 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 41473601257600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52289867520000).

41473601257600 is an abundant number, since it is smaller than the sum of its proper divisors (63106133782400).

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

41473601257600 is a wasteful number, since it uses less digits than its factorization.

41473601257600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2656 (or 2639 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 46.

The spelling of 41473601257600 in words is "forty-one trillion, four hundred seventy-three billion, six hundred one million, two hundred fifty-seven thousand, six hundred".