40153216 has 48 divisors (see below), whose sum is σ = 83762910. Its totient is φ = 19171328.

The previous prime is 40153207. The next prime is 40153219. The reversal of 40153216 is 61235104.

It can be written as a sum of positive squares in only one way, i.e., 32535616 + 7617600 = 5704^2 + 2760^2 .

It is a super-2 number, since 2×40153216² = 3224561510285312, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40153219) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 67416 + ... + 68008.

Almost surely, 2^40153216 is an apocalyptic number.

40153216 is a gapful number since it is divisible by the number (46) 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 40153216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41881455).

40153216 is an abundant number, since it is smaller than the sum of its proper divisors (43609694).

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

40153216 is an equidigital number, since it uses as much as digits as its factorization.

40153216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 40153216 is about 6336.6565316419. The cubic root of 40153216 is about 342.4312924497.

The spelling of 40153216 in words is "forty million, one hundred fifty-three thousand, two hundred sixteen".