41916400 has 60 divisors (see below), whose sum is σ = 103088392. Its totient is φ = 16369920.

The previous prime is 41916379. The next prime is 41916421. The reversal of 41916400 is 461914.

41916400 = T₂₄₃ + T₂₄₄ + ... + T₆₄₂.

It is an interprime number because it is at equal distance from previous prime (41916379) and next prime (41916421).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

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, 15982 + ... + 18418.

Almost surely, 2^41916400 is an apocalyptic number.

41916400 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 41916400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51544196).

41916400 is an abundant number, since it is smaller than the sum of its proper divisors (61171992).

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

41916400 is a wasteful number, since it uses less digits than its factorization.

41916400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2498 (or 2487 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 41916400 is about 6474.2876055980. The cubic root of 41916400 is about 347.3718796878.

The spelling of 41916400 in words is "forty-one million, nine hundred sixteen thousand, four hundred".