40135040 has 64 divisors (see below), whose sum is σ = 104688720. Its totient is φ = 14592000.

The previous prime is 40135037. The next prime is 40135063. The reversal of 40135040 is 4053104.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×40135040² = 3221642871603200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4190 + ... + 9890.

Almost surely, 2^40135040 is an apocalyptic number.

40135040 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 40135040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52344360).

40135040 is an abundant number, since it is smaller than the sum of its proper divisors (64553680).

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

40135040 is a wasteful number, since it uses less digits than its factorization.

40135040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5731 (or 5719 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 40135040 is about 6335.2221744782. Note that the first 3 decimals coincide. The cubic root of 40135040 is about 342.3796156380.

Adding to 40135040 its reverse (4053104), we get a palindrome (44188144).

The spelling of 40135040 in words is "forty million, one hundred thirty-five thousand, forty".