41526535680000 has 3900 divisors, whose sum is σ = 186015351839592. Its totient is φ = 9196830720000.

The previous prime is 41526535679917. The next prime is 41526535680011. The reversal of 41526535680000 is 8653562514.

41526535680000 is a `hidden beast` number, since 4 + 1 + 52 + 6 + 535 + 68 + 0 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 299 ways as a sum of consecutive naturals, for example, 619799039967 + ... + 619799040033.

Almost surely, 2^{41526535680000} is an apocalyptic number.

41526535680000 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 41526535680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93007675919796).

41526535680000 is an abundant number, since it is smaller than the sum of its proper divisors (144488816159592).

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

41526535680000 is an frugal number, since it uses more digits than its factorization.

41526535680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 41526535680000 in words is "forty-one trillion, five hundred twenty-six billion, five hundred thirty-five million, six hundred eighty thousand".