41970240 has 336 divisors, whose sum is σ = 166420800. Its totient is φ = 9621504.

The previous prime is 41970233. The next prime is 41970241. The reversal of 41970240 is 4207914.

41970240 = 283² + 284² + ... + 529².

It is a happy number.

41970240 is a `hidden beast` number, since 419 + 7 + 0 + 240 = 666.

It is not an unprimeable number, because it can be changed into a prime (41970241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 711331 + ... + 711389.

It is an arithmetic number, because the mean of its divisors is an integer number (495300).

Almost surely, 2^41970240 is an apocalyptic number.

41970240 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 41970240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83210400).

41970240 is an abundant number, since it is smaller than the sum of its proper divisors (124450560).

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

41970240 is a wasteful number, since it uses less digits than its factorization.

41970240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 41970240 is about 6478.4442576903. Note that the first 3 decimals coincide. The cubic root of 41970240 is about 347.5205446508.

The spelling of 41970240 in words is "forty-one million, nine hundred seventy thousand, two hundred forty".