10219238640 has 320 divisors, whose sum is σ = 38383793280. Its totient is φ = 2514945024.

The previous prime is 10219238593. The next prime is 10219238657. The reversal of 10219238640 is 4683291201.

10219238640 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 9 + 2 + 3 + 8 + 640 = 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 = 10219238595 and 10219238604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2272234 + ... + 2276726.

It is an arithmetic number, because the mean of its divisors is an integer number (119949354).

Almost surely, 2^10219238640 is an apocalyptic number.

10219238640 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 10219238640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19191896640).

10219238640 is an abundant number, since it is smaller than the sum of its proper divisors (28164554640).

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

10219238640 is an equidigital number, since it uses as much as digits as its factorization.

10219238640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4540 (or 4516 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 10219238640 in words is "ten billion, two hundred nineteen million, two hundred thirty-eight thousand, six hundred forty".