40190400 has 126 divisors (see below), whose sum is σ = 142897352. Its totient is φ = 10713600.

The previous prime is 40190393. The next prime is 40190401. The reversal of 40190400 is 409104.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40190401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13005 + ... + 15795.

Almost surely, 2^40190400 is an apocalyptic number.

40190400 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 40190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71448676).

40190400 is an abundant number, since it is smaller than the sum of its proper divisors (102706952).

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

40190400 is a wasteful number, since it uses less digits than its factorization.

40190400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2819 (or 2801 counting only the distinct ones).

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

The square root of 40190400 is about 6339.5898920987. The cubic root of 40190400 is about 342.5369629953.

Adding to 40190400 its reverse (409104), we get a palindrome (40599504).

The spelling of 40190400 in words is "forty million, one hundred ninety thousand, four hundred".