41294400 has 168 divisors, whose sum is σ = 154960320. Its totient is φ = 9431040.

The previous prime is 41294399. The next prime is 41294417. The reversal of 41294400 is 449214.

It is a tau number, because it is divible by the number of its divisors (168).

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

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, 32986 + ... + 34214.

Almost surely, 2^41294400 is an apocalyptic number.

41294400 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 41294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77480160).

41294400 is an abundant number, since it is smaller than the sum of its proper divisors (113665920).

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

41294400 is a wasteful number, since it uses less digits than its factorization.

41294400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1261 (or 1246 counting only the distinct ones).

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

The square root of 41294400 is about 6426.0718950227. The cubic root of 41294400 is about 345.6450858532.

The spelling of 41294400 in words is "forty-one million, two hundred ninety-four thousand, four hundred".