40194432 has 192 divisors, whose sum is σ = 126977760. Its totient is φ = 12165120.

The previous prime is 40194431. The next prime is 40194437. The reversal of 40194432 is 23449104.

40194432 is a `hidden beast` number, since 40 + 194 + 432 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 40194396 and 40194405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40194431) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 980332 + ... + 980372.

Almost surely, 2^40194432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40194432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63488880).

40194432 is an abundant number, since it is smaller than the sum of its proper divisors (86783328).

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

40194432 is a wasteful number, since it uses less digits than its factorization.

40194432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 40194432 is about 6339.9078857662. The cubic root of 40194432 is about 342.5484173298.

The spelling of 40194432 in words is "forty million, one hundred ninety-four thousand, four hundred thirty-two".