101410410440 has 64 divisors (see below), whose sum is σ = 241447599360. Its totient is φ = 38253994240.

The previous prime is 101410410427. The next prime is 101410410443. The reversal of 101410410440 is 44014014101.

It is a happy number.

101410410440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (101410410443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 710939 + ... + 841578.

It is an arithmetic number, because the mean of its divisors is an integer number (3772618740).

Almost surely, 2^101410410440 is an apocalyptic number.

101410410440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101410410440 is an abundant number, since it is smaller than the sum of its proper divisors (140037188920).

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

101410410440 is a wasteful number, since it uses less digits than its factorization.

101410410440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1552622 (or 1552618 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 101410410440 its reverse (44014014101), we get a palindrome (145424424541).

The spelling of 101410410440 in words is "one hundred one billion, four hundred ten million, four hundred ten thousand, four hundred forty".