41997447011520 has 1344 divisors, whose sum is σ = 195255533491200. Its totient is φ = 8001309081600.

The previous prime is 41997447011519. The next prime is 41997447011521. The reversal of 41997447011520 is 2511074479914.

41997447011520 is a `hidden beast` number, since 4 + 1 + 9 + 9 + 7 + 44 + 70 + 1 + 1 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (41997447011519) and next prime (41997447011521).

It is a tau number, because it is divible by the number of its divisors (1344).

It is not an unprimeable number, because it can be changed into a prime (41997447011521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 429500235 + ... + 429598005.

It is an arithmetic number, because the mean of its divisors is an integer number (145279414800).

Almost surely, 2^{41997447011520} is an apocalyptic number.

41997447011520 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 41997447011520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97627766745600).

41997447011520 is an abundant number, since it is smaller than the sum of its proper divisors (153258086479680).

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

41997447011520 is a wasteful number, since it uses less digits than its factorization.

41997447011520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97974 (or 97961 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 41997447011520 in words is "forty-one trillion, nine hundred ninety-seven billion, four hundred forty-seven million, eleven thousand, five hundred twenty".