41704704000 has 576 divisors, whose sum is σ = 157057729920. Its totient is φ = 10624204800.

The previous prime is 41704703993. The next prime is 41704704007. The reversal of 41704704000 is 40740714.

It is an interprime number because it is at equal distance from previous prime (41704703993) and next prime (41704704007).

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (41704704007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52991607 + ... + 52992393.

It is an arithmetic number, because the mean of its divisors is an integer number (272669670).

Almost surely, 2^41704704000 is an apocalyptic number.

41704704000 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 41704704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78528864960).

41704704000 is an abundant number, since it is smaller than the sum of its proper divisors (115353025920).

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

41704704000 is a wasteful number, since it uses less digits than its factorization.

41704704000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The spelling of 41704704000 in words is "forty-one billion, seven hundred four million, seven hundred four thousand".