40201040 has 60 divisors (see below), whose sum is σ = 102761652. Its totient is φ = 14615040.

The previous prime is 40200997. The next prime is 40201043. The reversal of 40201040 is 4010204.

It can be written as a sum of positive squares in 2 ways, for example, as 5438224 + 34762816 = 2332^2 + 5896^2 .

It is a super-2 number, since 2×40201040² = 3232247234163200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (11).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40201043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7604 + ... + 11756.

Almost surely, 2^40201040 is an apocalyptic number.

40201040 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 40201040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51380826).

40201040 is an abundant number, since it is smaller than the sum of its proper divisors (62560612).

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

40201040 is a wasteful number, since it uses less digits than its factorization.

40201040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4188 (or 4171 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 40201040 is about 6340.4290075672. The cubic root of 40201040 is about 342.5671880550.

Adding to 40201040 its reverse (4010204), we get a palindrome (44211244).

The spelling of 40201040 in words is "forty million, two hundred one thousand, forty".