40194000 has 480 divisors, whose sum is σ = 181059840. Its totient is φ = 8064000.

The previous prime is 40193983. The next prime is 40194017. The reversal of 40194000 is 49104.

40194000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40193983) and next prime (40194017).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1385986 + ... + 1386014.

It is an arithmetic number, because the mean of its divisors is an integer number (377208).

Almost surely, 2^40194000 is an apocalyptic number.

40194000 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 40194000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90529920).

40194000 is an abundant number, since it is smaller than the sum of its proper divisors (140865840).

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

40194000 is a wasteful number, since it uses less digits than its factorization.

40194000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 40194000 is about 6339.8738157790. The cubic root of 40194000 is about 342.5471901163.

Subtracting from 40194000 its reverse (49104), we obtain a square (40144896 = 6336²).

The spelling of 40194000 in words is "forty million, one hundred ninety-four thousand".