40100040 has 192 divisors, whose sum is σ = 141523200. Its totient is φ = 9816576.

The previous prime is 40100003. The next prime is 40100041. The reversal of 40100040 is 4000104.

It is a Harshad number since it is a multiple of its sum of digits (9).

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

It is a junction number, because it is equal to n+sod(n) for n = 40099995 and 40100031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40100041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 240037 + ... + 240203.

It is an arithmetic number, because the mean of its divisors is an integer number (737100).

Almost surely, 2^40100040 is an apocalyptic number.

40100040 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 40100040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70761600).

40100040 is an abundant number, since it is smaller than the sum of its proper divisors (101423160).

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

40100040 is a wasteful number, since it uses less digits than its factorization.

40100040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 40100040 is about 6332.4592379264. The cubic root of 40100040 is about 342.2800619679.

Adding to 40100040 its reverse (4000104), we get a palindrome (44100144).

The spelling of 40100040 in words is "forty million, one hundred thousand, forty".