41542745217600 has 672 divisors, whose sum is σ = 150663882608640. Its totient is φ = 9937115136000.

The previous prime is 41542745217587. The next prime is 41542745217643. The reversal of 41542745217600 is 671254724514.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 41542745217600.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11316463765 + ... + 11316467435.

Almost surely, 2^{41542745217600} is an apocalyptic number.

41542745217600 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 41542745217600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75331941304320).

41542745217600 is an abundant number, since it is smaller than the sum of its proper divisors (109121137391040).

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

41542745217600 is a wasteful number, since it uses less digits than its factorization.

41542745217600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6499 (or 6484 counting only the distinct ones).

The product of its (nonzero) digits is 1881600, while the sum is 48.

The spelling of 41542745217600 in words is "forty-one trillion, five hundred forty-two billion, seven hundred forty-five million, two hundred seventeen thousand, six hundred".