41400960 has 64 divisors (see below), whose sum is σ = 131971680. Its totient is φ = 11039744.

The previous prime is 41400923. The next prime is 41401013. The reversal of 41400960 is 6900414.

41400960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 41400960.

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 7 ways as a sum of consecutive naturals, for example, 8862 + ... + 12701.

Almost surely, 2^41400960 is an apocalyptic number.

41400960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41400960 is an abundant number, since it is smaller than the sum of its proper divisors (90570720).

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

41400960 is a wasteful number, since it uses less digits than its factorization.

41400960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21585 (or 21573 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 41400960 is about 6434.3577768104. The cubic root of 41400960 is about 345.9421423076.

The spelling of 41400960 in words is "forty-one million, four hundred thousand, nine hundred sixty".