40142466 has 120 divisors (see below), whose sum is σ = 112972860. Its totient is φ = 10559808.

The previous prime is 40142449. The next prime is 40142483. The reversal of 40142466 is 66424104.

40142466 = T₄₄₉ + T₄₅₀ + ... + T₆₉₁.

It is an interprime number because it is at equal distance from previous prime (40142449) and next prime (40142483).

It can be written as a sum of positive squares in 2 ways, for example, as 35820225 + 4322241 = 5985^2 + 2079^2 .

It is a super-2 number, since 2×40142466² = 3222835153122312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 103000 + ... + 103388.

Almost surely, 2^40142466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40142466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56486430).

40142466 is an abundant number, since it is smaller than the sum of its proper divisors (72830394).

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

40142466 is a wasteful number, since it uses less digits than its factorization.

40142466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 40142466 is about 6335.8082357344. The cubic root of 40142466 is about 342.4007306390.

The spelling of 40142466 in words is "forty million, one hundred forty-two thousand, four hundred sixty-six".