41479796736000 has 2640 divisors, whose sum is σ = 181101741038400. Its totient is φ = 9481096396800.

The previous prime is 41479796735963. The next prime is 41479796736029. The reversal of 41479796736000 is 63769797414.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

41479796736000 is a `hidden beast` number, since 4 + 1 + 479 + 7 + 96 + 73 + 6 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 175 ways as a sum of consecutive naturals, for example, 5925685247997 + ... + 5925685248003.

Almost surely, 2^{41479796736000} is an apocalyptic number.

41479796736000 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 41479796736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90550870519200).

41479796736000 is an abundant number, since it is smaller than the sum of its proper divisors (139621944302400).

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

41479796736000 is an frugal number, since it uses more digits than its factorization.

41479796736000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 48009024, while the sum is 63.

The spelling of 41479796736000 in words is "forty-one trillion, four hundred seventy-nine billion, seven hundred ninety-six million, seven hundred thirty-six thousand".