41415506496000 has 2560 divisors, whose sum is σ = 191161604874240. Its totient is φ = 8605605888000.

The previous prime is 41415506495999. The next prime is 41415506496011. The reversal of 41415506496000 is 69460551414.

41415506496000 is a `hidden beast` number, since 4 + 1 + 4 + 1 + 550 + 6 + 4 + 96 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 10535614035 + ... + 10535617965.

It is an arithmetic number, because the mean of its divisors is an integer number (74672501904).

Almost surely, 2^{41415506496000} is an apocalyptic number.

41415506496000 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 41415506496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95580802437120).

41415506496000 is an abundant number, since it is smaller than the sum of its proper divisors (149746098378240).

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

41415506496000 is a wasteful number, since it uses less digits than its factorization.

41415506496000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4060 (or 4028 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 41415506496000 in words is "forty-one trillion, four hundred fifteen billion, five hundred six million, four hundred ninety-six thousand".