41463007488000 has 6144 divisors, whose sum is σ = 201347887104000. Its totient is φ = 8198317670400.

The previous prime is 41463007487987. The next prime is 41463007488031. The reversal of 41463007488000 is 88470036414.

41463007488000 is a `hidden beast` number, since 4 + 1 + 4 + 630 + 0 + 7 + 4 + 8 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 782320895974 + ... + 782320896026.

It is an arithmetic number, because the mean of its divisors is an integer number (32771466000).

Almost surely, 2^{41463007488000} is an apocalyptic number.

41463007488000 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 41463007488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100673943552000).

41463007488000 is an abundant number, since it is smaller than the sum of its proper divisors (159884879616000).

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

41463007488000 is a wasteful number, since it uses less digits than its factorization.

41463007488000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 41463007488000 in words is "forty-one trillion, four hundred sixty-three billion, seven million, four hundred eighty-eight thousand".