41460101463000 has 256 divisors, whose sum is σ = 141153961927680. Its totient is φ = 10048166400000.

The previous prime is 41460101462939. The next prime is 41460101463049. The reversal of 41460101463000 is 36410106414.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 120971880 + ... + 121314120.

It is an arithmetic number, because the mean of its divisors is an integer number (551382663780).

Almost surely, 2^{41460101463000} is an apocalyptic number.

41460101463000 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 41460101463000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70576980963840).

41460101463000 is an abundant number, since it is smaller than the sum of its proper divisors (99693860464680).

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

41460101463000 is a wasteful number, since it uses less digits than its factorization.

41460101463000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345947 (or 345933 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 41460101463000 its reverse (36410106414), we get a palindrome (41496511569414).

The spelling of 41460101463000 in words is "forty-one trillion, four hundred sixty billion, one hundred one million, four hundred sixty-three thousand".