10214844640 has 768 divisors, whose sum is σ = 35115171840. Its totient is φ = 2704711680.

The previous prime is 10214844631. The next prime is 10214844641. The reversal of 10214844640 is 4644841201.

It is a junction number, because it is equal to n+sod(n) for n = 10214844596 and 10214844605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10214844641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 173132931 + ... + 173132989.

It is an arithmetic number, because the mean of its divisors is an integer number (45722880).

Almost surely, 2^10214844640 is an apocalyptic number.

10214844640 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 10214844640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17557585920).

10214844640 is an abundant number, since it is smaller than the sum of its proper divisors (24900327200).

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

10214844640 is a wasteful number, since it uses less digits than its factorization.

10214844640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 34.

The spelling of 10214844640 in words is "ten billion, two hundred fourteen million, eight hundred forty-four thousand, six hundred forty".