10042401040 has 120 divisors (see below), whose sum is σ = 27195402240. Its totient is φ = 3438699264.

The previous prime is 10042401011. The next prime is 10042401043. The reversal of 10042401040 is 4010424001.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (10042401043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5012679 + ... + 5014681.

It is an arithmetic number, because the mean of its divisors is an integer number (226628352).

Almost surely, 2^10042401040 is an apocalyptic number.

10042401040 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 10042401040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13597701120).

10042401040 is an abundant number, since it is smaller than the sum of its proper divisors (17153001200).

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

10042401040 is a wasteful number, since it uses less digits than its factorization.

10042401040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3309 (or 3296 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 10042401040 its reverse (4010424001), we get a palindrome (14052825041).

The spelling of 10042401040 in words is "ten billion, forty-two million, four hundred one thousand, forty".