10142100440 has 64 divisors (see below), whose sum is σ = 24084172800. Its totient is φ = 3833177472.

The previous prime is 10142100439. The next prime is 10142100467. The reversal of 10142100440 is 4400124101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 273659 + ... + 308501.

It is an arithmetic number, because the mean of its divisors is an integer number (376315200).

Almost surely, 2^10142100440 is an apocalyptic number.

10142100440 is a gapful number since it is divisible by the number (10) 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 10142100440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12042086400).

10142100440 is an abundant number, since it is smaller than the sum of its proper divisors (13942072360).

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

10142100440 is a wasteful number, since it uses less digits than its factorization.

10142100440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35256 (or 35252 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 10142100440 its reverse (4400124101), we get a palindrome (14542224541).

The spelling of 10142100440 in words is "ten billion, one hundred forty-two million, one hundred thousand, four hundred forty".