40786416 has 100 divisors (see below), whose sum is σ = 128824344. Its totient is φ = 12355200.

The previous prime is 40786411. The next prime is 40786433. The reversal of 40786416 is 61468704.

40786416 is a `hidden beast` number, since 4 + 0 + 7 + 8 + 641 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40786411) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12826 + ... + 15686.

Almost surely, 2^40786416 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 40786416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64412172).

40786416 is an abundant number, since it is smaller than the sum of its proper divisors (88037928).

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

40786416 is a wasteful number, since it uses less digits than its factorization.

40786416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2892 (or 2877 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 40786416 is about 6386.4243517010. The cubic root of 40786416 is about 344.2219137808.

The spelling of 40786416 in words is "forty million, seven hundred eighty-six thousand, four hundred sixteen".