40134600 has 144 divisors (see below), whose sum is σ = 147111120. Its totient is φ = 9724800.

The previous prime is 40134583. The next prime is 40134629. The reversal of 40134600 is 643104.

It is a super-2 number, since 2×40134600² = 3221572234320000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18787 + ... + 20813.

It is an arithmetic number, because the mean of its divisors is an integer number (1021605).

Almost surely, 2^40134600 is an apocalyptic number.

40134600 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 40134600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73555560).

40134600 is an abundant number, since it is smaller than the sum of its proper divisors (106976520).

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

40134600 is a wasteful number, since it uses less digits than its factorization.

40134600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2060 (or 2048 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 40134600 is about 6335.1874478977. The cubic root of 40134600 is about 342.3783644655.

Adding to 40134600 its reverse (643104), we get a palindrome (40777704).

The spelling of 40134600 in words is "forty million, one hundred thirty-four thousand, six hundred".