41690400 has 144 divisors (see below), whose sum is σ = 140616000. Its totient is φ = 10716160.

The previous prime is 41690393. The next prime is 41690413. The reversal of 41690400 is 409614.

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, 69301 + ... + 69899.

It is an arithmetic number, because the mean of its divisors is an integer number (976500).

Almost surely, 2^41690400 is an apocalyptic number.

41690400 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 41690400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70308000).

41690400 is an abundant number, since it is smaller than the sum of its proper divisors (98925600).

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

41690400 is a wasteful number, since it uses less digits than its factorization.

41690400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 41690400 is about 6456.8103580638. The cubic root of 41690400 is about 346.7464477786.

The spelling of 41690400 in words is "forty-one million, six hundred ninety thousand, four hundred".