41405644800000 has 1656 divisors, whose sum is σ = 166975021008432. Its totient is φ = 10192158720000.

The previous prime is 41405644799989. The next prime is 41405644800011. The reversal of 41405644800000 is 844650414.

It is a happy number.

41405644800000 is a `hidden beast` number, since 4 + 1 + 4 + 0 + 5 + 644 + 8 + 0 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (41405644799989) and next prime (41405644800011).

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 71 ways as a sum of consecutive naturals, for example, 3185049599994 + ... + 3185049600006.

Almost surely, 2^{41405644800000} is an apocalyptic number.

41405644800000 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 41405644800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83487510504216).

41405644800000 is an abundant number, since it is smaller than the sum of its proper divisors (125569376208432).

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

41405644800000 is an frugal number, since it uses more digits than its factorization.

41405644800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 41405644800000 in words is "forty-one trillion, four hundred five billion, six hundred forty-four million, eight hundred thousand".