40535040 has 352 divisors, whose sum is σ = 165070080. Its totient is φ = 8257536.

The previous prime is 40534997. The next prime is 40535051. The reversal of 40535040 is 4053504.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 40534998 and 40535016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1397746 + ... + 1397774.

Almost surely, 2^40535040 is an apocalyptic number.

40535040 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 40535040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82535040).

40535040 is an abundant number, since it is smaller than the sum of its proper divisors (124535040).

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

40535040 is a wasteful number, since it uses less digits than its factorization.

40535040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 40535040 is about 6366.7134378736. The cubic root of 40535040 is about 343.5132831978.

Adding to 40535040 its reverse (4053504), we get a palindrome (44588544).

The spelling of 40535040 in words is "forty million, five hundred thirty-five thousand, forty".