36401040 has 120 divisors (see below), whose sum is σ = 131684280. Its totient is φ = 8957952.

The previous prime is 36401023. The next prime is 36401047. The reversal of 36401040 is 4010463.

36401040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2108304 + 34292736 = 1452^2 + 5856^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (36401047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7416 + ... + 11304.

It is an arithmetic number, because the mean of its divisors is an integer number (1097369).

Almost surely, 2^36401040 is an apocalyptic number.

36401040 is a gapful number since it is divisible by the number (30) 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 36401040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65842140).

36401040 is an abundant number, since it is smaller than the sum of its proper divisors (95283240).

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

36401040 is a wasteful number, since it uses less digits than its factorization.

36401040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3921 (or 3912 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 36401040 is about 6033.3274401445. The cubic root of 36401040 is about 331.4143155354.

The spelling of 36401040 in words is "thirty-six million, four hundred one thousand, forty".