41791464 has 240 divisors, whose sum is σ = 141940260. Its totient is φ = 11404800.

The previous prime is 41791427. The next prime is 41791471. The reversal of 41791464 is 46419714.

It can be written as a sum of positive squares in 2 ways, for example, as 32970564 + 8820900 = 5742^2 + 2970^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1019284 + ... + 1019324.

Almost surely, 2^41791464 is an apocalyptic number.

41791464 is a gapful number since it is divisible by the number (44) 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 41791464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70970130).

41791464 is an abundant number, since it is smaller than the sum of its proper divisors (100148796).

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

41791464 is a wasteful number, since it uses less digits than its factorization.

41791464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 70 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 41791464 is about 6464.6317760565. The cubic root of 41791464 is about 347.0264107441.

The spelling of 41791464 in words is "forty-one million, seven hundred ninety-one thousand, four hundred sixty-four".