10114009920 has 672 divisors, whose sum is σ = 43695445248. Its totient is φ = 2173796352.

The previous prime is 10114009897. The next prime is 10114009967. The reversal of 10114009920 is 2990041101.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9252894 + ... + 9253986.

It is an arithmetic number, because the mean of its divisors is an integer number (65022984).

Almost surely, 2^10114009920 is an apocalyptic number.

10114009920 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 10114009920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21847722624).

10114009920 is an abundant number, since it is smaller than the sum of its proper divisors (33581435328).

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

10114009920 is a wasteful number, since it uses less digits than its factorization.

10114009920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The spelling of 10114009920 in words is "ten billion, one hundred fourteen million, nine thousand, nine hundred twenty".