40135410 has 144 divisors (see below), whose sum is σ = 128044800. Its totient is φ = 8672832.

The previous prime is 40135409. The next prime is 40135411. The reversal of 40135410 is 1453104.

It is a happy number.

40135410 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 (40135409) and next prime (40135411).

It is a super-2 number, since 2×40135410² = 3221702271736200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (40135411) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 83551 + ... + 84029.

It is an arithmetic number, because the mean of its divisors is an integer number (889200).

Almost surely, 2^40135410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40135410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64022400).

40135410 is an abundant number, since it is smaller than the sum of its proper divisors (87909390).

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

40135410 is a wasteful number, since it uses less digits than its factorization.

40135410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 40135410 is about 6335.2513762281. The cubic root of 40135410 is about 342.3806677533.

Adding to 40135410 its reverse (1453104), we get a palindrome (41588514).

The spelling of 40135410 in words is "forty million, one hundred thirty-five thousand, four hundred ten".