40516407 has 12 divisors (see below), whose sum is σ = 58592664. Its totient is φ = 26979120.

The previous prime is 40516403. The next prime is 40516481. The reversal of 40516407 is 70461504.

It is not a de Polignac number, because 40516407 - 2² = 40516403 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40516403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7428 + ... + 11670.

It is an arithmetic number, because the mean of its divisors is an integer number (4882722).

Almost surely, 2^40516407 is an apocalyptic number.

40516407 is the 3183-rd decagonal number.

40516407 is a deficient number, since it is larger than the sum of its proper divisors (18076257).

40516407 is a wasteful number, since it uses less digits than its factorization.

40516407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5310 (or 5307 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 40516407 is about 6365.2499558148. The cubic root of 40516407 is about 343.4606401511.

It can be divided in two parts, 405 and 16407, that multiplied together give a triangular number (6644835 = T₃₆₄₅).

The spelling of 40516407 in words is "forty million, five hundred sixteen thousand, four hundred seven".