10395141120 has 1056 divisors, whose sum is σ = 46208617728. Its totient is φ = 2102132736.

The previous prime is 10395141109. The next prime is 10395141121. The reversal of 10395141120 is 2114159301.

It is a happy number.

10395141120 is a `hidden beast` number, since 1 + 0 + 39 + 514 + 112 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (10395141121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 155151327 + ... + 155151393.

Almost surely, 2^10395141120 is an apocalyptic number.

10395141120 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 10395141120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23104308864).

10395141120 is an abundant number, since it is smaller than the sum of its proper divisors (35813476608).

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

10395141120 is a wasteful number, since it uses less digits than its factorization.

10395141120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 10395141120 in words is "ten billion, three hundred ninety-five million, one hundred forty-one thousand, one hundred twenty".