41247074160 has 360 divisors, whose sum is σ = 154908589680. Its totient is φ = 9806413824.

The previous prime is 41247074153. The next prime is 41247074161. The reversal of 41247074160 is 6147074214.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×41247074160² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41247074161) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3948304 + ... + 3958736.

It is an arithmetic number, because the mean of its divisors is an integer number (430301638).

Almost surely, 2^41247074160 is an apocalyptic number.

41247074160 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 41247074160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77454294840).

41247074160 is an abundant number, since it is smaller than the sum of its proper divisors (113661515520).

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

41247074160 is a wasteful number, since it uses less digits than its factorization.

41247074160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10505 (or 10479 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 41247074160 in words is "forty-one billion, two hundred forty-seven million, seventy-four thousand, one hundred sixty".