41164400 has 30 divisors (see below), whose sum is σ = 98898432. Its totient is φ = 16465600.

The previous prime is 41164399. The next prime is 41164421. The reversal of 41164400 is 446114.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 51056 + ... + 51855.

Almost surely, 2^41164400 is an apocalyptic number.

41164400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41164400 is an abundant number, since it is smaller than the sum of its proper divisors (57734032).

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

41164400 is a wasteful number, since it uses less digits than its factorization.

41164400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102929 (or 102918 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 41164400 is about 6415.9488776018. The cubic root of 41164400 is about 345.2819930667.

The spelling of 41164400 in words is "forty-one million, one hundred sixty-four thousand, four hundred".