41613680400 has 60 divisors (see below), whose sum is σ = 133302493392. Its totient is φ = 11096981120.

The previous prime is 41613680399. The next prime is 41613680429. The reversal of 41613680400 is 408631614.

It is a tau number, because it is divible by the number of its divisors (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17337834 + ... + 17340233.

Almost surely, 2^41613680400 is an apocalyptic number.

41613680400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41613680400 is an abundant number, since it is smaller than the sum of its proper divisors (91688812992).

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

41613680400 is a wasteful number, since it uses less digits than its factorization.

41613680400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34678088 (or 34678077 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 41613680400 in words is "forty-one billion, six hundred thirteen million, six hundred eighty thousand, four hundred".