40191360 has 192 divisors, whose sum is σ = 141629040. Its totient is φ = 9687040.

The previous prime is 40191343. The next prime is 40191379. The reversal of 40191360 is 6319104.

It is a tau number, because it is divible by the number of its divisors (192).

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 40191360.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 232234 + ... + 232406.

Almost surely, 2^40191360 is an apocalyptic number.

40191360 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 40191360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70814520).

40191360 is an abundant number, since it is smaller than the sum of its proper divisors (101437680).

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

40191360 is a wasteful number, since it uses less digits than its factorization.

40191360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 40191360 is about 6339.6656063234. The cubic root of 40191360 is about 342.5396902873.

The spelling of 40191360 in words is "forty million, one hundred ninety-one thousand, three hundred sixty".