40735104 has 64 divisors (see below), whose sum is σ = 110763840. Its totient is φ = 13257216.

The previous prime is 40735087. The next prime is 40735109. The reversal of 40735104 is 40153704.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40735109) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15279 + ... + 17745.

It is an arithmetic number, because the mean of its divisors is an integer number (1730685).

Almost surely, 2^40735104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40735104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55381920).

40735104 is an abundant number, since it is smaller than the sum of its proper divisors (70028736).

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

40735104 is a wasteful number, since it uses less digits than its factorization.

40735104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2527 (or 2515 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 40735104 is about 6382.4058159913. The cubic root of 40735104 is about 344.0775019176.

Adding to 40735104 its reverse (40153704), we get a palindrome (80888808).

It can be divided in two parts, 407 and 35104, that added together give a triangular number (35511 = T₂₆₆).

The spelling of 40735104 in words is "forty million, seven hundred thirty-five thousand, one hundred four".