40736436 has 72 divisors (see below), whose sum is σ = 105144480. Its totient is φ = 12265344.

The previous prime is 40736419. The next prime is 40736447. The reversal of 40736436 is 63463704.

It is a junction number, because it is equal to n+sod(n) for n = 40736397 and 40736406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107295 + ... + 107673.

It is an arithmetic number, because the mean of its divisors is an integer number (1460340).

Almost surely, 2^40736436 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 40736436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52572240).

40736436 is an abundant number, since it is smaller than the sum of its proper divisors (64408044).

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

40736436 is a wasteful number, since it uses less digits than its factorization.

40736436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 33.

The square root of 40736436 is about 6382.5101645042. The cubic root of 40736436 is about 344.0812522148.

The spelling of 40736436 in words is "forty million, seven hundred thirty-six thousand, four hundred thirty-six".