40409190 has 96 divisors (see below), whose sum is σ = 110388096. Its totient is φ = 10245120.

The previous prime is 40409179. The next prime is 40409197. The reversal of 40409190 is 9190404.

40409190 = T₄₆₅ + T₄₆₆ + ... + T₆₉₉.

It is a super-2 number, since 2×40409190² = 3265805272912200, which contains 22 as substring.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40409197) 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, 173314 + ... + 173546.

It is an arithmetic number, because the mean of its divisors is an integer number (1149876).

Almost surely, 2^40409190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40409190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55194048).

40409190 is an abundant number, since it is smaller than the sum of its proper divisors (69978906).

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

40409190 is a wasteful number, since it uses less digits than its factorization.

40409190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 40409190 is about 6356.8223193668. The cubic root of 40409190 is about 343.1574103181.

Adding to 40409190 its reverse (9190404), we get a palindrome (49599594).

The spelling of 40409190 in words is "forty million, four hundred nine thousand, one hundred ninety".