4101460563640 has 128 divisors (see below), whose sum is σ = 10118902993920. Its totient is φ = 1483798118400.

The previous prime is 4101460563631. The next prime is 4101460563643. The reversal of 4101460563640 is 463650641014.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 4101460563593 and 4101460563602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4101460563643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93042805 + ... + 93086875.

It is an arithmetic number, because the mean of its divisors is an integer number (79053929640).

Almost surely, 2^{4101460563640} is an apocalyptic number.

4101460563640 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 4101460563640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5059451496960).

4101460563640 is an abundant number, since it is smaller than the sum of its proper divisors (6017442430280).

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

4101460563640 is a wasteful number, since it uses less digits than its factorization.

4101460563640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45173 (or 45169 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The spelling of 4101460563640 in words is "four trillion, one hundred one billion, four hundred sixty million, five hundred sixty-three thousand, six hundred forty".