40216512 has 112 divisors (see below), whose sum is σ = 126991872. Its totient is φ = 10982400.

The previous prime is 40216493. The next prime is 40216513. The reversal of 40216512 is 21561204.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×40216512² = 3234735674892288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40216513) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30262 + ... + 31562.

It is an arithmetic number, because the mean of its divisors is an integer number (1133856).

Almost surely, 2^40216512 is an apocalyptic number.

40216512 is a gapful number since it is divisible by the number (42) 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 40216512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63495936).

40216512 is an abundant number, since it is smaller than the sum of its proper divisors (86775360).

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

40216512 is a wasteful number, since it uses less digits than its factorization.

40216512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 40216512 is about 6341.6489969092. The cubic root of 40216512 is about 342.6111298678.

Adding to 40216512 its reverse (21561204), we get a palindrome (61777716).

The spelling of 40216512 in words is "forty million, two hundred sixteen thousand, five hundred twelve".