4101027840 has 768 divisors, whose sum is σ = 18052070400. Its totient is φ = 859963392.

The previous prime is 4101027839. The next prime is 4101027859. The reversal of 4101027840 is 487201014.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 25159599 + ... + 25159761.

It is an arithmetic number, because the mean of its divisors is an integer number (23505300).

Almost surely, 2^4101027840 is an apocalyptic number.

4101027840 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 4101027840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9026035200).

4101027840 is an abundant number, since it is smaller than the sum of its proper divisors (13951042560).

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

4101027840 is a wasteful number, since it uses less digits than its factorization.

4101027840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 4101027840 is about 64039.2679533425. The cubic root of 4101027840 is about 1600.6543989814.

Adding to 4101027840 its reverse (487201014), we get a palindrome (4588228854).

The spelling of 4101027840 in words is "four billion, one hundred one million, twenty-seven thousand, eight hundred forty".