10075401140 has 96 divisors (see below), whose sum is σ = 25044117504. Its totient is φ = 3331860480.

The previous prime is 10075401121. The next prime is 10075401163. The reversal of 10075401140 is 4110457001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1354712 + ... + 1362128.

It is an arithmetic number, because the mean of its divisors is an integer number (260876224).

Almost surely, 2^10075401140 is an apocalyptic number.

10075401140 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 10075401140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12522058752).

10075401140 is an abundant number, since it is smaller than the sum of its proper divisors (14968716364).

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

10075401140 is a wasteful number, since it uses less digits than its factorization.

10075401140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7777 (or 7775 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 23.

Adding to 10075401140 its reverse (4110457001), we get a palindrome (14185858141).

The spelling of 10075401140 in words is "ten billion, seventy-five million, four hundred one thousand, one hundred forty".