4100144640 has 320 divisors, whose sum is σ = 13793117184. Its totient is φ = 1037795328.

The previous prime is 4100144627. The next prime is 4100144669. The reversal of 4100144640 is 464410014.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×4100144640² = 33622372137841459200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4100144640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13355367 + ... + 13355673.

Almost surely, 2^4100144640 is an apocalyptic number.

4100144640 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 4100144640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6896558592).

4100144640 is an abundant number, since it is smaller than the sum of its proper divisors (9692972544).

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

4100144640 is a wasteful number, since it uses less digits than its factorization.

4100144640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 4100144640 is about 64032.3718130135. The cubic root of 4100144640 is about 1600.5394847439.

Adding to 4100144640 its reverse (464410014), we get a palindrome (4564554654).

The spelling of 4100144640 in words is "four billion, one hundred million, one hundred forty-four thousand, six hundred forty".