40191840 has 288 divisors, whose sum is σ = 156854880. Its totient is φ = 9289728.

The previous prime is 40191797. The next prime is 40191847. The reversal of 40191840 is 4819104.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40191847) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 355624 + ... + 355736.

It is an arithmetic number, because the mean of its divisors is an integer number (544635).

Almost surely, 2^40191840 is an apocalyptic number.

40191840 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 40191840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78427440).

40191840 is an abundant number, since it is smaller than the sum of its proper divisors (116663040).

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

40191840 is a wasteful number, since it uses less digits than its factorization.

40191840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 40191840 is about 6339.7034630967. The cubic root of 40191840 is about 342.5410539170.

The spelling of 40191840 in words is "forty million, one hundred ninety-one thousand, eight hundred forty".