40991760 has 180 divisors, whose sum is σ = 146980548. Its totient is φ = 10235904.

The previous prime is 40991747. The next prime is 40991789. The reversal of 40991760 is 6719904.

It can be written as a sum of positive squares in 6 ways, for example, as 11048976 + 29942784 = 3324^2 + 5472^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 207982 + ... + 208178.

Almost surely, 2^40991760 is an apocalyptic number.

40991760 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 40991760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73490274).

40991760 is an abundant number, since it is smaller than the sum of its proper divisors (105988788).

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

40991760 is a wasteful number, since it uses less digits than its factorization.

40991760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 40991760 is about 6402.4807692019. The cubic root of 40991760 is about 344.7986222385.

The spelling of 40991760 in words is "forty million, nine hundred ninety-one thousand, seven hundred sixty".