4100040000 has 420 divisors, whose sum is σ = 16793549344. Its totient is φ = 936576000.

The previous prime is 4100039947. The next prime is 4100040011. The reversal of 4100040000 is 400014.

It is a tau number, because it is divible by the number of its divisors (420).

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 congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 2519187 + ... + 2520813.

Almost surely, 2^4100040000 is an apocalyptic number.

4100040000 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 4100040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8396774672).

4100040000 is an abundant number, since it is smaller than the sum of its proper divisors (12693509344).

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

4100040000 is a wasteful number, since it uses less digits than its factorization.

4100040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672 (or 1644 counting only the distinct ones).

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

The square root of 4100040000 is about 64031.5547210904. The cubic root of 4100040000 is about 1600.5258688115.

Adding to 4100040000 its reverse (400014), we get a palindrome (4100440014).

It can be divided in two parts, 4 and 100040000, that added together give a square (100040004 = 10002²).

The spelling of 4100040000 in words is "four billion, one hundred million, forty thousand".