41681304000 has 784 divisors, whose sum is σ = 177047322816. Its totient is φ = 9517824000.

The previous prime is 41681303981. The next prime is 41681304031. The reversal of 41681304000 is 40318614.

It is a super-2 number, since 2×41681304000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 40823490 + ... + 40824510.

Almost surely, 2^41681304000 is an apocalyptic number.

41681304000 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 41681304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88523661408).

41681304000 is an abundant number, since it is smaller than the sum of its proper divisors (135366018816).

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

41681304000 is an equidigital number, since it uses as much as digits as its factorization.

41681304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1073 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 41681304000 in words is "forty-one billion, six hundred eighty-one million, three hundred four thousand".