40134400 has 54 divisors (see below), whose sum is σ = 99354752. Its totient is φ = 16051200.

The previous prime is 40134373. The next prime is 40134421. The reversal of 40134400 is 443104.

It is a super-2 number, since 2×40134400² = 3221540126720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3265 + ... + 9535.

Almost surely, 2^40134400 is an apocalyptic number.

40134400 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 40134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49677376).

40134400 is an abundant number, since it is smaller than the sum of its proper divisors (59220352).

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

40134400 is an equidigital number, since it uses as much as digits as its factorization.

40134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6297 (or 6278 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 40134400 is about 6335.1716630254. The cubic root of 40134400 is about 342.3777957476.

Adding to 40134400 its reverse (443104), we get a palindrome (40577504).

The spelling of 40134400 in words is "forty million, one hundred thirty-four thousand, four hundred".