41325048737280 has 3840 divisors, whose sum is σ = 206318634762240. Its totient is φ = 7653674188800.

The previous prime is 41325048737267. The next prime is 41325048737309. The reversal of 41325048737280 is 8273784052314.

It is a happy number.

41325048737280 is a `hidden beast` number, since 4 + 1 + 3 + 2 + 50 + 487 + 37 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 15471750345 + ... + 15471753015.

It is an arithmetic number, because the mean of its divisors is an integer number (53728811136).

Almost surely, 2^{41325048737280} is an apocalyptic number.

41325048737280 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 41325048737280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103159317381120).

41325048737280 is an abundant number, since it is smaller than the sum of its proper divisors (164993586024960).

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

41325048737280 is a wasteful number, since it uses less digits than its factorization.

41325048737280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2763 (or 2735 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 41325048737280 in words is "forty-one trillion, three hundred twenty-five billion, forty-eight million, seven hundred thirty-seven thousand, two hundred eighty".