41481690969600 has 1680 divisors, whose sum is σ = 186467693705568. Its totient is φ = 8923553464320.

The previous prime is 41481690969569. The next prime is 41481690969683. The reversal of 41481690969600 is 696909618414.

41481690969600 is a `hidden beast` number, since 4 + 1 + 4 + 8 + 16 + 9 + 0 + 9 + 6 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1110394122 + ... + 1110431478.

Almost surely, 2^{41481690969600} is an apocalyptic number.

41481690969600 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 41481690969600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93233846852784).

41481690969600 is an abundant number, since it is smaller than the sum of its proper divisors (144986002735968).

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

41481690969600 is an equidigital number, since it uses as much as digits as its factorization.

41481690969600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37427 (or 37391 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 41481690969600 in words is "forty-one trillion, four hundred eighty-one billion, six hundred ninety million, nine hundred sixty-nine thousand, six hundred".