10121414440 has 64 divisors (see below), whose sum is σ = 24890664960. Its totient is φ = 3687490560.

The previous prime is 10121414411. The next prime is 10121414453. The reversal of 10121414440 is 4441412101.

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, 218992 + ... + 261151.

It is an arithmetic number, because the mean of its divisors is an integer number (388916640).

Almost surely, 2^10121414440 is an apocalyptic number.

10121414440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121414440 is an abundant number, since it is smaller than the sum of its proper divisors (14769250520).

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

10121414440 is a wasteful number, since it uses less digits than its factorization.

10121414440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480202 (or 480198 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 10121414440 its reverse (4441412101), we get a palindrome (14562826541).

The spelling of 10121414440 in words is "ten billion, one hundred twenty-one million, four hundred fourteen thousand, four hundred forty".