41478112800 has 144 divisors (see below), whose sum is σ = 150012586080. Its totient is φ = 11060824320.

The previous prime is 41478112777. The next prime is 41478112831. The reversal of 41478112800 is 821187414.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 938542 + ... + 981741.

It is an arithmetic number, because the mean of its divisors is an integer number (1041754070).

Almost surely, 2^41478112800 is an apocalyptic number.

41478112800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41478112800 is an abundant number, since it is smaller than the sum of its proper divisors (108534473280).

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

41478112800 is a wasteful number, since it uses less digits than its factorization.

41478112800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1920312 (or 1920293 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The spelling of 41478112800 in words is "forty-one billion, four hundred seventy-eight million, one hundred twelve thousand, eight hundred".