4010000 has 50 divisors (see below), whose sum is σ = 9732822. Its totient is φ = 1600000.

The previous prime is 4009991. The next prime is 4010021. The reversal of 4010000 is 104.

It can be written as a sum of positive squares in 5 ways, for example, as 430336 + 3579664 = 656^2 + 1892^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 9800 + ... + 10200.

Almost surely, 2^4010000 is an apocalyptic number.

4010000 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 4010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4866411).

4010000 is an abundant number, since it is smaller than the sum of its proper divisors (5722822).

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

4010000 is an equidigital number, since it uses as much as digits as its factorization.

4010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

The square root of 4010000 is about 2002.4984394501. The cubic root of 4010000 is about 158.8722785345.

Adding to 4010000 its reverse (104), we get a palindrome (4010104).

The spelling of 4010000 in words is "four million, ten thousand".