41201801625600 has 2898 divisors, whose sum is σ = 194414120951004. Its totient is φ = 8561413324800.

The previous prime is 41201801625557. The next prime is 41201801625617. The reversal of 41201801625600 is 652610810214.

It is a happy number.

41201801625600 is a `hidden beast` number, since 4 + 1 + 2 + 0 + 1 + 80 + 16 + 2 + 560 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 3745618329595 + ... + 3745618329605.

Almost surely, 2^{41201801625600} is an apocalyptic number.

41201801625600 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 41201801625600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97207060475502).

41201801625600 is an abundant number, since it is smaller than the sum of its proper divisors (153212319325404).

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

41201801625600 is an frugal number, since it uses more digits than its factorization.

41201801625600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 41201801625600 in words is "forty-one trillion, two hundred one billion, eight hundred one million, six hundred twenty-five thousand, six hundred".