41407371740736 has 343 divisors, whose sum is σ = 127301782574107. Its totient is φ = 13357216690560.

The previous prime is 41407371740689. The next prime is 41407371740743. The reversal of 41407371740736 is 63704717370414.

The square root of 41407371740736 is 6434856.

The cubic root of 41407371740736 is 34596.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

41407371740736 is a `hidden beast` number, since 4 + 1 + 407 + 37 + 174 + 0 + 7 + 36 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 48 ways as a sum of consecutive naturals, for example, 1335721669041 + ... + 1335721669071.

Almost surely, 2^{41407371740736} is an apocalyptic number.

41407371740736 is the 6434856-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41407371740736

41407371740736 is an abundant number, since it is smaller than the sum of its proper divisors (85894410833371).

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

41407371740736 is an frugal number, since it uses more digits than its factorization.

41407371740736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 8297856, while the sum is 54.

The spelling of 41407371740736 in words is "forty-one trillion, four hundred seven billion, three hundred seventy-one million, seven hundred forty thousand, seven hundred thirty-six".