40205970 has 120 divisors (see below), whose sum is σ = 125884044. Its totient is φ = 9180864.

The previous prime is 40205941. The next prime is 40205981. The reversal of 40205970 is 7950204.

It can be written as a sum of positive squares in 2 ways, for example, as 32867289 + 7338681 = 5733^2 + 2709^2 .

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

It is a Curzon number.

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, 39184 + ... + 40196.

Almost surely, 2^40205970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40205970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62942022).

40205970 is an abundant number, since it is smaller than the sum of its proper divisors (85678074).

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

40205970 is a wasteful number, since it uses less digits than its factorization.

40205970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 40205970 is about 6340.8177706034. The cubic root of 40205970 is about 342.5811909034.

The spelling of 40205970 in words is "forty million, two hundred five thousand, nine hundred seventy".