41942400 has 192 divisors, whose sum is σ = 146843280. Its totient is φ = 10485760.

The previous prime is 41942389. The next prime is 41942419. The reversal of 41942400 is 424914.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 163072 + ... + 163328.

Almost surely, 2^41942400 is an apocalyptic number.

41942400 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 41942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73421640).

41942400 is an abundant number, since it is smaller than the sum of its proper divisors (104900880).

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

41942400 is a wasteful number, since it uses less digits than its factorization.

41942400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 41942400 is about 6476.2952372479. The cubic root of 41942400 is about 347.4436877162.

The spelling of 41942400 in words is "forty-one million, nine hundred forty-two thousand, four hundred".