40516512 has 96 divisors (see below), whose sum is σ = 113601600. Its totient is φ = 12607488.

The previous prime is 40516481. The next prime is 40516529. The reversal of 40516512 is 21561504.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×40516512² = 3283175489292288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176814 + ... + 177042.

It is an arithmetic number, because the mean of its divisors is an integer number (1183350).

Almost surely, 2^40516512 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 40516512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56800800).

40516512 is an abundant number, since it is smaller than the sum of its proper divisors (73085088).

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

40516512 is a wasteful number, since it uses less digits than its factorization.

40516512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 40516512 is about 6365.2582037181. The cubic root of 40516512 is about 343.4609368485.

The spelling of 40516512 in words is "forty million, five hundred sixteen thousand, five hundred twelve".