40084160 has 56 divisors (see below), whose sum is σ = 96042480. Its totient is φ = 15934464.

The previous prime is 40084139. The next prime is 40084169. The reversal of 40084160 is 6148004.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (40084169) 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, 73007 + ... + 73553.

Almost surely, 2^40084160 is an apocalyptic number.

40084160 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 40084160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48021240).

40084160 is an abundant number, since it is smaller than the sum of its proper divisors (55958320).

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

40084160 is a wasteful number, since it uses less digits than its factorization.

40084160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 40084160 is about 6331.2052565053. The cubic root of 40084160 is about 342.2348739412.

The spelling of 40084160 in words is "forty million, eighty-four thousand, one hundred sixty".