41162640 has 80 divisors (see below), whose sum is σ = 133170048. Its totient is φ = 10498048.

The previous prime is 41162621. The next prime is 41162657. The reversal of 41162640 is 4626114.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×41162640³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 41162640.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1792 + ... + 9248.

Almost surely, 2^41162640 is an apocalyptic number.

41162640 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 41162640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66585024).

41162640 is an abundant number, since it is smaller than the sum of its proper divisors (92007408).

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

41162640 is a wasteful number, since it uses less digits than its factorization.

41162640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7496 (or 7490 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 41162640 is about 6415.8117179356. The cubic root of 41162640 is about 345.2770721077.

Adding to 41162640 its reverse (4626114), we get a palindrome (45788754).

The spelling of 41162640 in words is "forty-one million, one hundred sixty-two thousand, six hundred forty".