4101343440 has 320 divisors, whose sum is σ = 13972248576. Its totient is φ = 992065536.

The previous prime is 4101343429. The next prime is 4101343489. The reversal of 4101343440 is 443431014.

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 4101343440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8782087 + ... + 8782553.

Almost surely, 2^4101343440 is an apocalyptic number.

4101343440 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 4101343440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6986124288).

4101343440 is an abundant number, since it is smaller than the sum of its proper divisors (9870905136).

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

4101343440 is a wasteful number, since it uses less digits than its factorization.

4101343440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 4101343440 is about 64041.7320190515. The cubic root of 4101343440 is about 1600.6954580842.

Adding to 4101343440 its reverse (443431014), we get a palindrome (4544774454).

The spelling of 4101343440 in words is "four billion, one hundred one million, three hundred forty-three thousand, four hundred forty".