40501000 has 64 divisors (see below), whose sum is σ = 95949360. Its totient is φ = 16000000.

The previous prime is 40500983. The next prime is 40501003. The reversal of 40501000 is 10504.

It can be written as a sum of positive squares in 8 ways, for example, as 21473956 + 19027044 = 4634^2 + 4362^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (40501003) 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, 100800 + ... + 101200.

Almost surely, 2^40501000 is an apocalyptic number.

40501000 is a gapful number since it is divisible by the number (40) 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 40501000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47974680).

40501000 is an abundant number, since it is smaller than the sum of its proper divisors (55448360).

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

40501000 is a wasteful number, since it uses less digits than its factorization.

40501000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 40501000 is about 6364.0395976141. The cubic root of 40501000 is about 343.4170991977.

Adding to 40501000 its reverse (10504), we get a palindrome (40511504).

It can be divided in two parts, 4050 and 1000, that added together give a triangular number (5050 = T₁₀₀).

The spelling of 40501000 in words is "forty million, five hundred one thousand".