40005735 has 64 divisors (see below), whose sum is σ = 84049920. Its totient is φ = 15742080.

The previous prime is 40005733. The next prime is 40005739. The reversal of 40005735 is 53750004.

It is not a de Polignac number, because 40005735 - 2¹ = 40005733 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40005733) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21034 + ... + 22856.

It is an arithmetic number, because the mean of its divisors is an integer number (1313280).

Almost surely, 2^40005735 is an apocalyptic number.

40005735 is an abundant number, since it is smaller than the sum of its proper divisors (44044185).

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

40005735 is a wasteful number, since it uses less digits than its factorization.

40005735 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1868.

The product of its (nonzero) digits is 2100, while the sum is 24.

The square root of 40005735 is about 6325.0086956462. The cubic root of 40005735 is about 342.0115330744.

Adding to 40005735 its reverse (53750004), we get a palindrome (93755739).

The spelling of 40005735 in words is "forty million, five thousand, seven hundred thirty-five".