10114827840 has 672 divisors, whose sum is σ = 40273833600. Its totient is φ = 2309160960.

The previous prime is 10114827823. The next prime is 10114827847. The reversal of 10114827840 is 4872841101.

10114827840 is a `hidden beast` number, since 101 + 1 + 482 + 78 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10114827795 and 10114827804.

It is not an unprimeable number, because it can be changed into a prime (10114827847) 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, 41970120 + ... + 41970360.

It is an arithmetic number, because the mean of its divisors is an integer number (59931300).

Almost surely, 2^10114827840 is an apocalyptic number.

10114827840 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 10114827840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20136916800).

10114827840 is an abundant number, since it is smaller than the sum of its proper divisors (30159005760).

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

10114827840 is a wasteful number, since it uses less digits than its factorization.

10114827840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The spelling of 10114827840 in words is "ten billion, one hundred fourteen million, eight hundred twenty-seven thousand, eight hundred forty".