41627520000000 has 2240 divisors, whose sum is σ = 171905866951104. Its totient is φ = 9953280000000.

The previous prime is 41627519999963. The next prime is 41627520000029. The reversal of 41627520000000 is 2572614.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 43800 × 33000 × 28800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 570239999964 + ... + 570240000036.

Almost surely, 2^{41627520000000} is an apocalyptic number.

41627520000000 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 41627520000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85952933475552).

41627520000000 is an abundant number, since it is smaller than the sum of its proper divisors (130278346951104).

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

41627520000000 is an frugal number, since it uses more digits than its factorization.

41627520000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

Adding to 41627520000000 its reverse (2572614), we get a palindrome (41627522572614).

The spelling of 41627520000000 in words is "forty-one trillion, six hundred twenty-seven billion, five hundred twenty million", and thus it is an aban number.