41768400 has 60 divisors (see below), whose sum is σ = 133801952. Its totient is φ = 11137920.

The previous prime is 41768393. The next prime is 41768431. The reversal of 41768400 is 486714.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16204 + ... + 18603.

Almost surely, 2^41768400 is an apocalyptic number.

41768400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41768400 is an abundant number, since it is smaller than the sum of its proper divisors (92033552).

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

41768400 is a wasteful number, since it uses less digits than its factorization.

41768400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34828 (or 34817 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 41768400 is about 6462.8476695649. The cubic root of 41768400 is about 346.9625596669.

The spelling of 41768400 in words is "forty-one million, seven hundred sixty-eight thousand, four hundred".